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coldgirl [10]
3 years ago
11

Four interior angles of a pentagon measure 156°, 72°, 98°, and 87°. What is the measure of the final interior angle? 108° 127° 1

50° 487°
Mathematics
2 answers:
neonofarm [45]3 years ago
7 0
<span>Four interior angles of a pentagon measure 156°, 72°, 98°, and 87°. What is the measure of the final interior angle?
B </span>
Lera25 [3.4K]3 years ago
5 0

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.

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