two anhles of a triangle are equal and its third angle is double of the equal angle.find the measure of the 3 angles of the triangle
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Answer:
1st and 2nd angle is 30
and,3rd angle is 120.
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Let the equal angles be x°.
So, 3rd angle = 2x°.
As we know that the sum of all angles of a triangle is 180°,
so we can write the following equation-
x+x+2x = 180
or, 2x+2x = 180
or, 4x = 180
or, x = 180/4
or, x = 45.
So,
the measure of equal angles = x° = 45°.
and third angle = 2x° = (2×45)° = 90°.
Hence, angle.find the measure of the three angles of the triangle are 45°, 45° and 90°.
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