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20 March, 12:06

An animal pen is in the shape of a triangle. One of the interior angles of the triangle is 50°. The measures of the other interior angles are in the ratio 2 ∶ 3. What are the measures of the other interior angles?

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  1. 20 March, 12:28
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    The correct answers are 52° and 78°.

    Step-by-step explanation:

    We know that the total sum of the three interior angles of a triangle is given to be 180°.

    Value of one angle is given to be 50°.

    The other two angles are given to be in the ratio 2 : 3.

    Therefore by the given condition, let the two angles be 2x° and 3x°.

    Thus, 2x + 3x = 180 - 50

    ⇒ 5x = 130

    ⇒ x = 26

    Thus the values of the two angles are 2*26 = 52° and 3*26 = 78°.
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