Question

find the unknown angles marked in each of the following figures​

Answer 1

Answer:

x=20

2x=40

6x=120

120+40+20

=180

Answer 2

Answer:

6x = 120°, 2x = 40°, x = 20°

Step-by-step explanation:

∠PQR = 6x

∠QPR = 2x

∠PRQ = x

Since it is a triangle so the sum of all angles is 180°

∠PQR + ∠QPR + ∠PRQ = 6x+2x+x = 180°

⇒9x = 180°

⇒x=20°

∠PQR = 6x = 120°

∠QPR = 2x = 40°

∠PRQ = x = 20°