Question

A pentagon has three angles that measure 118°, 84°, and 84°. The two remaining angles have the same measure. How should the measure of the two remaining angles be found?

1. Find the sum of the interior angles: 360°
2. Subtract the given angle measures: 360° - (118° + 84° + 84°) = 74°
3. Divide by 2 to find the angle measure: 74° ÷ 2 = 37°
The measure of the two remaining angles should be 37° each.

Answer 1

To find the measure of the two remaining angles in a pentagon, you need to find the sum of the interior angles, subtract the given angle measures from 360, and divide by 2.

Step-by-step explanation:

To find the measure of the two remaining angles in a pentagon, you need to follow these steps:

1. Find the sum of the interior angles, which is always 360 degrees.
2. Subtract the given angle measures from 360 degrees.
3. Divide the result by 2 to find the measure of each of the two remaining angles.

In this case, the sum of the three given angles is 286 degrees (118 + 84 + 84 = 286). Subtracting this from 360 gives you 74 degrees. Dividing 74 by 2 gives you 37 degrees. Therefore, the measure of the two remaining angles should be 37 degrees each.