Question

Find the measure of two complementary angles if the measure of one is 15 degrees more than twice the measure of the other

Answer 1

2 complementary angles sum up to 90°.

Take one angle as 'x'. Then, the other angle will be '15 + 2x'.

15 + 2x + x = 90°

15 + 3x = 90°

3x = 90 - 15

3x = 75

x = 75/3

x = 25°.

Measure of 1st angle (x°) = 25°

Measure of 2nd angle (15 + 2x°) = 15 + 2*25 = 65°.

=》 The 2 complementary angles are 25° & 65°.

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Answer 2

25 and 65

Explanation:

Let one of the angles be x.

So, the other angle is 15 + 2x

complementary angles add up to 90 degrees.

so, we have

x + 2x + 15 = 90

3x + 15 = 90

Subtract 15 from both sides

3x = 75

solve for x

x = 25

so, the angles are 25 and 65