two angles of a triangle are equal and each of them measure one third of the third angle. find the measure of the angle of the triangle
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Answer:
36° AND 108°
Explanation:
LET THE THIRD ANGLE BE 'x' DEGREES.
∴ ∠A = ∠B = ¹/₃ *x
NOW,
WE KNOW THAT
SUM OF ALL ANGLES IS 180°
∴ ∠A + ∠B + ∠C = 180°
¹/₃x + ¹/₃x + x =180
5/3 * x = 180
x = 180 * 3 / 5
x = 108°
∠A = ∠B = 36°
∠C = 108°
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