Answer:
![120^{0}](https://tex.z-dn.net/?f=120%5E%7B0%7D)
Step-by-step explanation:
Given: pentagon (5 sided polygon), two interior angles =
each, other three interior angles are congruent.
Sum of angles in a polygon = (n - 2) × ![180^{0}](https://tex.z-dn.net/?f=180%5E%7B0%7D)
where n is the number of sides of the polygon.
For a pentagon, n = 5, so that;
Sum of angles in a pentagon = (5 - 2) × ![180^{0}](https://tex.z-dn.net/?f=180%5E%7B0%7D)
= 3 × ![180^{0}](https://tex.z-dn.net/?f=180%5E%7B0%7D)
= ![540^{0}](https://tex.z-dn.net/?f=540%5E%7B0%7D)
Sum of angles in a pentagon is
.
Since two interior angles are right angle, the measure of one of its three congruent interior angles can be determined by;
- (2 ×
) =
- ![180^{0}](https://tex.z-dn.net/?f=180%5E%7B0%7D)
= ![360^{0}](https://tex.z-dn.net/?f=360%5E%7B0%7D)
So that;
the measure of the interior angle = ![\frac{360^{0} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B360%5E%7B0%7D%20%7D%7B3%7D)
= ![120^{0}](https://tex.z-dn.net/?f=120%5E%7B0%7D)
The measure of one of its three congruent interior angles is
.