In the given figure, ∠SPQ = 85° and ∠PRS = 20° then what is the value of ∠PSQ?

In ∆ABC and ∆PQR, AB = 7 m, BC = 8 m, AC = 9 m, PQ = 7 m, QR = 8 m and PR = 9 m. Which of the following is true for these triangles?

In a given figure, O is the centre of the circle and ∠POQ = 54°. What is the measure (in degrees) of ∠PRQ?

Let ABC and PQR be two congruent triangles such that ∠A = ∠P = 90°. If BC = 13cm and PR = 5cm, find AB.

RA and RB are two tangents from a common point ‘R’ outside the circle with centre ‘O’, having a radius of 6 cm. If ∠ARB = 70°, find the measure of the angle AOB.

If △XYZ ≅ △LMR, then m + x + p = _________________.

In a triangle ABC, side BC is produced to D such that ∠ACD = 127º. If ∠ABC = 35º, then find ∠BAC.

In ΔABC, AB = AC, O is a point on BC such that BO = CO and OD is perpendicular to AB and OE is perpendicular to AC. If ∠BOD = 60°, then measure of ∠AOE is:

PQRS is a cyclic quadrilateral with QR as the diameter of the circle. If \(\angle\)SQR = 24°, then what will be the measure of \(\angle\)QPS?

If PQ and PR are the two tangents to a circle with center O, and ∠QOR=150°, then ∠QPR is equal to:

In the given triangle, CD is the bisector of ∠BCA. CD = DA. If ∠BDC = 76º, what is the degree measure of ∠CBD?

If the angles of a quadrilateral are (2x - 260)°, (4x + 100)°, (x + 200)° and (2x - 4)°, find the value of (3x - 30)°.

In the given figure, if AC and DE are parallel and ∠CAB = 38˚, then the value of ∠ABC + 4∠CBD is: 

In \(\bigtriangleup \)ABC if \(\angle\)A = 40° and \(\angle\)B = 70°, find the measure of exterior angle A.

In the given figure, QS = PR = PS, then find the value of angle PRS.

From the given figure find the value of ∠z.

If tangents PA and PB from a point P to a circle with centre O are inclined to each other at an angle of 110° then the angle POA is :

If x and y are the complementary angles and m and n are supplementary angles, if x = 60° and m = 120°, then find the sum of y and n.

In ΔABC, D is a point on AC such that AB = BD = DC, if ∠BAD = 70°, then the measure of (∠B + ∠C) is:

Select the most appropriate option to fill in the blank.

The angles are equal, consequently the sides are _____________.

In the triangle ABC, find the exterior angle to A if the interior angle to B is 60° and the exterior angle to C is 150°.

In the following figure, AB and CD are the diameters of the circle. If ∠AOD = 80°, then what is the value of ∠ADC?

In the following figure, ABCD is a cyclic quadrilateral such that ∠BAD : ∠BCD = 13 : 5, ∠ADB : ∠CDB = 1 : 3 and ∠ABD : ∠CBD = 1 : 2, then what is the value of ∠BDC?

Chords AB and CD of a circle are produced to meet at the point P, outside the circle, and AD is the diameter of the circle. If \(\angle\)DAP = 36° and \(\angle\)APC = 30°, then what will be the measure of \(\angle\)CBD?

AB is a chord of a circle with center O and P is any point on the circle. If ∠APB = 112°, then what is the measure of ∠OAB? 

ΔABC and ΔDEF are congruent triangles respectively. If AB = 6 = DE, BC = 8 = EF and m ∠B = 30°, then ∠D + ∠C =_________.

PQRS is a cyclic quadrilateral. If \(\angle\)P is four times \(\angle\)R and \(\angle\)S is three times \(\angle\)Q,  then the sum of the measures of \(\angle\)S and \(\angle\)R will be:

ABCD is a cyclic quadrilateral whose diagonals intersect at P. If ∠DBC = 72º and ∠BAC = 42º , then the measure of ∠BCD (in degrees) is:

In a circle with center O, PA and PB are the tangents at A and B, respectively, from an external point P. If ∠APB = 24°, then find ∠AOB.

Minor arc BC subtends angle BAC and BDC at points A and D. respectively, on the circumference in the major sector of the circle with center O. What is the value (in degrees) of (∠ABC + ∠ACB) if ∠BDC = 73°

If ∠C = ∠Z and AC = XZ, then which of the following conditions is necessary for ΔABC and ΔXYZ to be congruent?

In a triangle, PQR, QR is produced to s. If ∠PRS = (9x - 15)°,  ∠QPR = (2x)°, and ∠PQR = (4x + 15)°, what is the value of x?

The side BC of triangle ABC is produced to D. The bisectors of ∠ABC and ∠ACD meet at E. If AB = AC and ∠BEC 35°, then the measure of ∠ ABC will be:

In a circle, O is the center and AOB is the diameter. AT is a tangent to the circle. Line TB intersects the circle at Q. Given that ∠AOQ = 94°, find ∠ATQ.

AB is the diameter of a circle with the center O. P as a point on it. If ∠AOP = 95° then find ∠OBP ?

If in △ABC, AB = AC and ∠ACD = 125°, then ∠BAC is:

From the circumcentre L of triangle △XYZ, perpendicular LM is drawn on side YZ. If ∠YXZ= 60° then the measure of ∠YLM is:

PQ is a diameter of a circle with centre O. The tangents at R meets PQ produced at A. If ∠RPQ = 27°, then measure of ∠RQP is:

In the given figure, \(\Delta\)QPS \(\approx\) \(\Delta\)SRQ. Find the measure of \(\angle\)PSR.

In a circle, ABCD is a cyclic quadrilateral in which AE is drawn parallel to CD, and BA is produced to F. If ∠ABC = 85° and ∠FAE = 24°, find the value of ∠BCD.

O is the incentre of the triangle PQR. If angle POR = 140 degree, then what is the angle PQR?

ABCD is a cyclic quadrilateral and BC is the diameter of the related circle on which A and D also lie. ∠BCA = 19° and ∠CAD = 32º. What is the measure of ∠ACD?

In the given figure find the value of angle x.

If (7x + 5)° and (x + 5)° are complementary angles, then find the value of x.

In a ∆ABC, the internal bisectors of the angle B and the angle C intersect at an angle of 105°. What is the value of the angle A?

If ΔBPQ ≅ ΔASR and  ∠A = \(\frac{1}{3}\)∠R = ∠S, then find  ∠Q. (All angles are in degrees).

The ratio of the five angles of a pentagon is 2 : 3 : 4 : 4 : 5. What would be the measure of the smallest angle?

Two circles touch each other externally at P. AB is a direct common tangent to the two circles, A and B are points of contact, and ∠PAB = 40° . The measure of ∠ABP is:

In the given figure, from an external point C, tangents CA and CB are drawn to a circle with center O. If ∠AOB = 220° (bigger arc of the circle), then find ∠CAB.

If x and y are the complementary angles and m and n are supplementary angles, if x = 60° and m = 120°, then find the sum of y and n.