1.

An exterior angle of thetriangle is 110 One of the opposite interior angle is 50. What are the twoangle​

Answer»

ANSWER:

We know that the SUM of

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°.

Hope it helps ツ

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