Question

in a right angle triangle one of the acute angle exceeds the other by 20 degree find the measures of the both angle

Answer 1

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Let the 1st angle be x

Given, 2nd angle exceeds the 1st angle by 20°

= x + 20

In a right angked triangle, there is one angle of 90°

We know that, sum of all angles of triangle is 180°



According to the question,

90 + x + x + 20 = 180

➾ 2x + 110 = 180

➾ 2x = 180 - 110

➾ 2x = 70

➾ x = $\dfrac{70}{2}$

➾ x = 35



∴ The 1st angle is x°

➾ 35°

The 2nd angle is (x + 20)°

➾ 35 + 20

➾ 55°







∴ The angles are 90°, 35° and 55°