Question

An angle measures 24° less than the measure if a supplementary angle. What is the measure of each angle​?

Answer 1

Answer:

$\fbox{\underline{\Huge{\texttt{102 and 78}}}}$

Step-by-step explanation:

If two angles are supplementary, that means that the measures of the two angles have a sum of 180.

If the two angles were of equal measure, they would both be 90°.

The easiest way to get this would be to subtract 12 degrees from one 90° angle and add them to the other 90° angle so one angle has 24 more degrees then the other.

90 - 12 = 78

90 + 12 = 102

Let's check to make sure this works.

102 + 78 = 180 That checks out.

102 - 24 = 78 That also works.

So, the measures of the angles are 102° and 78°.