In a triangle exterior angle is 126°, opposite interior angles are (7x+12) and (3x-6). find the measure of each angle.
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Answer:
7x+12+3x-6=126
x=12
as exterior angle is equal to opposite interior angles
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Answered by
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Answer:
Let the angles of the given triangle be of xº, 2xº and 3xº. Then,
∴ x+2x+3x=180 [The sum of three angles of a triangle is 180°]⇒6x=180⇒x=30Hence, the angles of the triangle are 30º, 60º and 90º.
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