In a figure, one complementary angle has a measure of 36° and the other has a measure of (x−3)° . What is the value of x and the value of the unknown angle measure?(1 point)

Question

x=
, unknown angle measure =

Answer 1

To find the value of x and the unknown angle measure, we can start by using the fact that complementary angles add up to 90°.

We know that one complementary angle has a measure of 36°. Therefore, the other complementary angle must be 90° - 36° = 54°.

We also know that the measure of the other angle is (x - 3)°.

Setting up an equation, we can say that (x - 3)° = 54°.

Solving for x, we add 3 to both sides of the equation:

x = 54° + 3° = 57°.

Therefore, x = 57° and the unknown angle measure is (x - 3)° = 57° - 3° = 54°.

So, x = 57° and the unknown angle measure = 54°.