Question

An angle measures 78º less than the measure of its complementary angle, What is the measure of each

angle?

Answer 1

6 degrees.

Explanation:

Let x be the measure of the angle in degrees.

By definition of complementary angles, we know that the angle and its complementary angle add up to 90 degrees. So we have:

x + (x - 78) = 90

Simplifying the equation, we get:

2x - 78 = 90

Adding 78 to both sides, we get:

2x = 168

Dividing both sides by 2, we get:

x = 84

Therefore, the angle measures 84 degrees, and its complementary angle measures (90 - 84) = 6 degrees.