We got that the sum of the interior angles of a pentagon is 540^(∘). Note that in the given pentagon, there are three right angles.
m∠ABC = m∠CDE = m∠BAE = 90^(∘)
We also know that angle AED is congruent to angle BCD. This means that these angles have the same measure. Therefore, the polygon has 5 interior angles, where 3 angles have the measure of 90^(∘) and 2 angles have the measure of x^(∘). Let's write an equation that represents this situation.
3* 90 ^(∘) + 2* x^(∘) = 540^(∘)
Now we can solve this equation for x. For simplicity, we will not write the degree symbol.
