Q116 of 158 Page 159

In Fig. 6.33, find the measures of ∠x and ∠y.

Formula Used/Theory:-


→ Angle sum property


Sum of all angles of triangle is 180°


→ Exterior angle is equal to sum of interior opposite angles


By angle sum property


x + 45° + 60° = 180°


x + 105° = 180°


x = 180°-105°


x = 75°


By exterior angle property


y = 60° + x


y = 60° + 75°


y = 135°


Result:- x = 75°; y = 135°


More from this chapter

All 158 →
114

Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 60 meters × 80 meters. How much shorter is the route across the park than the route around its edges?

 115

In ∆PQR of Fig. 6.32, PQ = PR. Find the measures of ∠Q and ∠R.

 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.