Middle School

An angle \( x \) is 66 degrees less than its complement. What is the measure of the angle?

Answer :

Answer:

12 and 78

Step-by-step explanation:

The sum of complementary angles is 90 o

X+(x-66) = 90

2x = 156 x = 78

78-66 = 12

Measurement of both the complementary angles are 12° and 78° respectively.

An angle x is 66 less than its complement. To find the angle's measure, we can set up an equation using the definition of complementary angles.

Let the angle be x.

Its complement will be 90 - x.

From the given information, we have the equation x = (90 - x) - 66.

Solving this equation gives x = 12.