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5 November, 13:25

Two angles of a triangle are 30°and 80°. Find the third angle.

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  1. 5 November, 13:54
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    The third angle of the triangle is 70°.

    Step-by-step explanation:

    The two angles of a triangle (say Δ ABC) are given to be 30° and 80°.

    We have to find the third angle.

    Let us assume that ∠ A = 30° and ∠ B = 80°, then we have to find ∠ C.

    Now, we know that, ∠ A + ∠ B + ∠ C = 180° {Property of a triangle}

    ⇒ 30° + 80° + ∠ C = 180°

    ⇒ ∠ C = 180° - 30° - 80° = 70°

    Therefore, the third angle of the triangle is 70°. (Answer)
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