The measures of the interior angles of a pentagon are x, x + 10, x + 20, x + 30, and x + 40. What is the measure of the smallest angle?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 88°.
Sum of the interior angles of a pentagon = (5 - 2) × 180 = 540°
x + (x + 10) + (x + 20) + (x + 30) + (x + 40) = 5x + 100 = 540
⇒ 5x = 440
⇒ x = 88
Smallest angle = 88°