Question

Four interior angles of a pentagon measure 156°, 72°, 98°, and 87°. What is the measure of the final interior angle? 108° 127° 150° 487°

Answer 1

Answer: The correct option is (B) 127°.

Step-by-step explanation: Given that the measures of four interior angles of a pentagon is 156°, 72°, 98°, and 87°.

We are to find the measure of the final interior angle.

Let, x° be the measure of the final interior angle.

We know that the sum of interior angles of a pentagon is 540°, so we have

`156^\circ+72^\circ+98^\circ+87^\circ+x^\circ=540^\circ\\\\\Rightarrow 413^\circ+x^\circ=540^\circ\\\\\Rightarrow x^\circ=540^\circ-413^\circ\\\\\Rightarrow x^\circ=127^\circ.`

Thus, the measure of the final interior angle is 127°.

Option (B) is correct.