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MATHEMATICS

JAMB 2022 - Question 13

Mathematics 2022 JAMB Past Questions - Question 13: The interior angles of a pentagon are: 180°, 118°, 78°, 84°, and x. The value of x is?

The interior angles of a pentagon are: 180°, 118°, 78°, 84°, and x. The value of x is?

A: 75°

B: 80°

C: 120°

D: 135°

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Correct Answer

Explanation

To find the value of x, we can use the fact that the sum of the interior angles of a pentagon is always equal to 540 degrees.Let's add up the given interior angles:180° + 118° + 78° + 84° + x = 540°Combining like terms:460° + x = 540°Now, let's isolate x by subtracting 460° from both sides:x = 540° - 460°Simplifying:x = 80°Therefore, the value of x is 80 degrees.