Two complimentary angles are expressed in terms of (2x-6) and (2x)

Question

Write and solve an equation for x and give the measure of the two angles

Answer 1

To find two complementary angles, we can set up the equation:

(2x-6) + (2x) = 90

Combining like terms:

4x - 6 = 90

Adding 6 to both sides:

4x = 96

Dividing both sides by 4:

x = 24

Substituting x back into the original expressions:

First angle: 2x-6 = 2(24)-6 = 42 degrees
Second angle: 2x = 2(24) = 48 degrees

Therefore, the measure of the two angles is 42 degrees and 48 degrees.