Question

an exterior angle of a triangle is 110 and one of the interior opposite angle is 30.find the other two angles of the trianle

Answer 1

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Answer 2

In the diagram, PQR is a Triangle.

∴ ∠a + 110° = 180° ❪Linear pair❫

⇒ ∠a = 180° - 110°

⇒ ∠a = 70°

Hence, ∠a = 70°.

∴ ∠P + ∠Q + ∠R = 180°

❪Sum of ∠s of a Triangle = 180°❫

⇒ ∠P + 30° + ∠a = 180°

⇒ ∠P + 30° + 70° = 180°

⇒ ∠P + 100° = 180°

⇒ ∠P = 180° - 100°

⇒ ∠P = 80°

Hence, ∠P = 80°.

Therefore, the other two angles of the triangle are 70° and 80°.

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