Question

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?

Answer 1

The sum of two complementary angles is always 90 degrees.

Let's start by finding the value of x.

We know that one angle has a measure of 36°. So the other angle, which is complementary to it, will have a measure of 90° - 36° = 54°.

The problem also states that the measure of the other complementary angle is (x-3)°.

Since one angle has a measure of 54°, we can set up an equation:

x - 3 = 54

Adding 3 to both sides of the equation, we get:

x = 54 + 3

x = 57

So, the value of x is 57.

Now, we can find the measure of the unknown angle:

The measure of the unknown angle is (x - 3)°.

Plugging in x = 57, we get:

(x - 3)° = (57 - 3)° = 54°

So, the value of the unknown angle measure is 54°.