In Fig. 9.54, AB and CD are parallel lines and transversal EF intersects them at P and Q respectively. If ∠APR=25°, ∠RQC=30° and ∠CQF= 65°, then

Question

In Fig. 9.54, AB and CD are parallel lines and transversal EF intersects them at P and Q respectively. If &#x2220; APR =25&#xB0;, &#x2220; RQC =30&#xB0; and &#x2220; CQF = 65&#xB0;, then

Philoid · Accepted Answer

Given,

AB ‖ CD

And, EF cuts them

So, 30^o + 65^o + ∠PQR = 180^o

95^o + ∠PQR = 180^o

∠PQR = 85^o

∠APQ + ∠PQC = 180^o (Co. interior angle)

25^o + y + 85^o + 30^o = 180^o

y = 40^o

In

∠PQR + ∠PRQ + ∠QPR = 180^o

85^o + x + y = 180^o

x = 55^o

Thus, x = 55^o and y = 40^o

In Fig. 9.54, AB and CD are parallel lines and transversal EF intersects them at P and Q respectively. If ∠APR=25°, ∠RQC=30° and ∠CQF= 65°, then