Q119 of 158 Page 159

Find the measure of ∠A in Fig. 6.36.

Formula Used/Theory:-

→ Exterior angle is equal to sum of interior opposite angles

In Δ ABC

Exterior angle producing BC is 115°

115° = ∠A + 65°

∠A = 115° - 65°

∠A = 50°

Result:- the value of ∠A comes out to be 50°

117

In Fig. 6.34, find the measures of ∠PON and ∠NPO.

118

In Fig. 6.35, QP || RT. Find the values of x and y.

120

In a right-angled triangle if an angle measures 35°, then find the measure of the third angle.

121

Each of the two equal angles of an isosceles triangle is four times the third angle. Find the angles of the triangle.