Find the measures of the interior angles of the triangle.

A = 45°

B = 110°

C = 25°

Explanation:

The interior angles given are:

A = x°,

B = (x + 65)°

C = 25°

We know that sum of the interior angles of a triangle = 180°, therefore,

x° + 25° + (x + 65)° = 180°

Solve for x

x + 25 + x + 65 = 180

Add like terms

2x + 90 = 180

2x = 180 - 90 (subtraction property of equality)

2x = 90

x = 90/2 (division property of equality)

x = 45

✔️Measures of the interior angles are:

A = x = 45°

B = (x + 65)° = (45 + 65)° = 110°

C = 25°

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