Q2 of 100 Page 17

In Fig. 16.177, Δ PQR is an isosceles triangle with PQ=PR and m∠PQR=35°. Find m∠QSR and m∠QTR.

We have,

∠PQR = 35o


∠PQR + ∠PRQ = 35o (Angle opposite to equal sides)


In triangle PQR, by angle sum property


∠P + ∠Q + ∠R = 180o


∠P + 35o + 35o = 180o


∠P = 110o


Now,


∠QSR + ∠QTR = 180o


110o + ∠QTR = 180o


∠QTR = 70o


More from this chapter

All 100 →
11

A chord of a circle is equal to the radius of the circle. Find the angle substended by the chords at a point on the minor arc and also at a point on the major arc.

 1

In Fig. 16.176, Δ ABC is an equilateral triangle. Find m∠BEC.

 3

In Fig. 16.178, O is the centre of the circle. If ∠BOD=160°, find the values of x and y.

 4

In Fig. 16.179 ABCD is a cyclic quadrilateral. If ∠BCD=100° and ∠ABD=70°, find ∠ADB.