Question

In the adjoining figur, L ll m and t is the transversal such that the value of /_1 and /_2 are in the ratio 3:7. Find the measure of all the angles marked from 1 to 8

Answer 1

Hola Mate !!

Here's your answer :-

<1 + <2 = 180° { ▪ linear pair }
=> 3x + 7x = 180°
=> 10x = 180°
=> x = 180°/10
=> x = 18°

So,<1 = 3x = 3 × 10 = 30°
<2 = 7x = 7 × 10 = 70°

Now,
<3 = <1 [Vertically opposite angles]
=> <3 = 30°

<4 = <2 [Vertically opposite angles]
=> <4 = 70°

<5 = <1 [corresponding angles]
=> <5 = 30°

<6 = <2 [corresponding angles]
=> <6 = 70°

<7 = <5 [Vertically opposite angles]
=> <7 = 30°

<8 = <6 [Vertically opposite angles]
=> <8 = 70°

Hope it helps
Mark me as brainliest if it's correct