Question

In the given figure, PQ || RS and a: b =3: 2. Then, find the measure of all the unknown angles using the properties.

Answer 1

a,c,e,g are 108 and other angles are 72

Answer 2

Answer:

hey dear here is your answer

let , a = 3 x and b= 2x

a+ b = 180 ( linear pair)

3 x + 2 x = 180

5 x =  180

x = 36

∴ on keeping value of x = 36 in a and b

a = 3 x = 108

b = 2 x = 72

Now,

a = c = 108 ( vertically opposite angles )

b = d = 72(vertically opposite angles)

a = f = 108 ( corresponding angles)

b= e = 72 ( corresponding angles)

f = h = 108 ( vertically opposite angles )

e = g = 72 ( vertically opposite angles )

hope it helps

Step-by-step explanation: