CHSL questions on Lines & Angles - SSC

ABC is a triangle inscribed in a circle and ∠ACB is equal to 35°. P is a point on the circle on the side AB, opposite to C. What is the value of ∠APB in degrees?

Let O be the centre of a circle and AC be the diameter. BD is a chord intersecting AC at E. AD and AB are joined. If ∠BOC = 40° and ∠AOD = 120°, then ∠BEC is equal to:

In triangle ABC. AD is the internal bisector of ∠A meeting BC at D. If BD = 3.6 cm and BC = 8 cm, then the ratio of AB to AC will be:

The perimeter of a right-angled triangle whose sides that make right angles are 15 cm and 20 cm is:

The side OR of a triangle PQR is extended to a point S. If ∠PRS = 104° and ∠RQP = $\frac{3}{5}$∠QPR, then the value of ∠QPR is:

If S is a point on side QR ofa triangle PQR such that QS = 10 cm. QR = 18 cm and ∠PSR = ∠QPR,  then the length of PR will be:

In a circle with center O, P4 and PB aretangents to the circle at.4 and B, respectively, from an external point P. If, ∠AOB = 116° then whatis the measure of ∠OPB?

In a right-angled triangle ABC right angled at C, sin A = sin B. What is the value of cos A?

A ladder 10 m long rests against a vertical wall making an angle of 30° with the wall. How high up (in m) does it reach the wall from the ground? (Take √3 = 1.73)

Points A, B, C and D are concyclic points ofa circle with centre O, such that ∠DOC = 73°. The measure of ∠ABC is 215°. What is the measure of∠AOD?

In a circle with center O, APB is a tangent at P, If MN is a diameter such that ∠BPN = 52°, then what is the measure of ∠PNM?

Line AC is a tangent to a circle at point B on it, and PQ is a chord of the circle such that BP = BQ. If ∠ABP = 64°, then find the measure of ∠PBQ.

Points D, E and F are on the sides AB, BC and AC,respectively, of triangle ABC such that AE, BF and CD bisect ∠A, ∠B and ∠C, respectively. IfAB = 6 cm, BC = 7 cm and AC = 8 cm, then whatwill be the length of BE?

The angle between the internal bisectors of two angles ∠B and ∠C of a triangle ABC is 125°, then the value of ∠A is: