Question

In the adjoining figure angle p =2x°, angle q=x°and angle prs =120°find the all angles of triangle pqr

Answer 1

Answer:

<P = 40°

<Q = 20°

<R = 120°

Step-by-step explanation:

In ∆PQR

<P = 2x

<Q = x

<PRQ = 120°

Therefore ,

<P + <Q + <PRQ = 180° [Angle sum property of ∆]

→ 2x + x + 120° = 180°

→ 3x + 120° = 180°

→ 3x = 180° - 120°

→ 3x = 60°

→ x = 60°/3

→ x = 20°

<P = 2x

<P = 2 X 20°

<P = 40°

<Q = x

<Q = 20°

<PRQ = 120°

<R = 120°

HOPE IT HELPS YOU !

THANKS !