Question

In the given figure l //m and t is a transversal. If (1 and (2 are in the ratio 5:7 find the measure of each of the angles (1, (2, (3 and (8.

Answer 1

in fig.

l//m and t is the transversal

let <1 and <2 be 5x and 7x

5x + 7x = 180 degree ( linear pair )

12x = 180 degree

x = 180/12

x=15

therefore , 5x= 5*15 = 75, 7x= 7*15=105.

<1=<8 =75 degree (vertically opposite angle)

<2=<3=105 degree (vertically opposite angle)