Question

A Pentagon has three angles that are congruent and two other angles that are supplementary to each other. Find the measure of each of the three congruent angles in the Pentagon

Answer 1

First, you need to know that all the interior angles of a pentagon add up to 540 degrees.

Since we already know 2 angles are supplementary (add up to 180 degrees), we can subtract that from 540 degrees.

540 - 180 = 360       <--- 360 is the sum of the remaining angles

The other three angles are congruent to each other, so they have the same values. Just divide 360 by 3. So the answer would be 120 degrees.

Answer 2

The measure of each of the three congruent angles in the Pentagon is 120 degrees.

• The calculation is as follows;

Here we know that all  the interior angle of the pentagon should be 540 degrees.

Now the two supplementary angles should be 180

So, the remaining angle should be

= 540 - 180

= 360

Since there are three angles so each one should be 120

Learn more: https://brainly.com/question/9122916?referrer=searchResults