Question

One of the two equal angles of an isosceles triangle measure 65° .find the measure of each angle of the triangle .

Answer 1

Angle 1 = 65°

Angle 2 = 65° {equal angle of an isosceles triangle}

Let angle 3 = X

Sum of all angle in a triangle = 180°

65 + 65 + X = 180°

130 + X = 180°

X = 180 - 130

X = 50°

Therefore angles of triangle are = 65°, 65° and 50°.

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Answer 2

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Given - In an Isosceles triangle one of the equal Angle = 65°

To find - All angles of the isosceles triangle.

Calculation - Angle 2 = Angle 1 = 65°

As it's an isosceles triangle, the angles of the equal sides would be equal.

Let third angle be x

Thus, x + 65 + 65 = 180°

By the Angle sum property of a triangle.

Thus, x + 130 = 180

x = 180 - 130

x = 50°

Thus, the second angle = first angle = 65° and the third angle = 50°

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