The measure of angle P is 94°
What is pentagon?
"It is a polygon with five vertices and five sides."
For given example,
We know, the sum of all interior angles of a pentagon is 540°
⇒ ∠P + ∠Q + ∠R + ∠S + ∠T = 540°
⇒ (4x + 2)° + (132)° + (4x - 10)° + (5x - 11)° + 128° = 540°
⇒ 4x + 4x + 5x + 2 + 132 - 10 - 11 + 128 = 540
⇒ 13x + 241 = 540
⇒ 13x = 299
⇒ x = 23
So, the measure of angle P would be,
4x + 2
= 4 (23) + 2
= 94°
Therefore, the measure of angle P is 94°
Learn more about Pentagon here:
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