Question

Find the measure of the angle which is 32 degrees less than its supplement

Answer 1

let the supplement angle be x

given:

$(x - 32) + x = 180 \\ 2x = 212 \\ x = 106$
The angles are 106 and 74

Mark this answer as brainliest answer

Answer 2

Given: An angle is 32 degrees less than its supplement.

To find: The measure of the angle which is 32 degrees less than its supplement.

Solution: The measure of the angle which is 32 degrees less than its supplement is 74 degrees.

Let the angle be equal to x. The supplement of the angle would be the difference between 180 degrees and the angle.

$(180- x)$

According to the question, the angle is equal to its supplement minus 32 degrees. This can be written in the form of an equation as shown below.

$x = (180-x) - 32$

$x = 74$

Thus, the angle is 74 degrees.

Therefore, the measure of the angle which is 32 degrees less than its supplement is 74 degrees.