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°

Explanation:

Step1: Find the sum of interior angles of a pentagon

The formula for the sum of interior angles of a polygon is \((n - 2)\times180^{\circ}\), where \(n\) is the number of sides. For a pentagon, \(n = 5\).

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Step2: Calculate the sum of the four given angles

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Step3: Find the measure of the fifth angle

Let the fifth angle be \(x\). Then \(x=540^{\circ}-413^{\circ}\)

$$ x = 127^{\circ} $$

Answer:

B. \(127^{\circ}\)