Two interior angles of a convex pentagon are right angles and the other three interior angles are congruent. in degrees, what is the measure of one of the three congruent interior angles?

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) ×

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) ×

                                                = 3  ×

                                                =

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 × )  = -

                       =

So that;

the measure of the interior angle =

                                                        =

The measure of one of its three congruent interior angles is .