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WAEC Mathematics 2024 Paper

Question : 37

Total: 50

Solution:

Concept:

The sum of interior angles of a polygon is

(n - 2) \times 180^\circ

Explanation:

A hexagon has

n = 6

sides.

Sum of its interior angles

= (6 - 2) \times 180^\circ = 4 \times 180^\circ = 720^\circ

Four of these angles sum up to

420^\circ

The remaining two angles are equal, so let each be

x

Total sum of angles:

420^\circ + 2x = 720^\circ

2x = 720^\circ - 420^\circ = 300^\circ

x = \frac{300^\circ}{2} = 150^\circ

Thus, each of the remaining equal angles is

150^\circ

Answer:

150^\circ

(Option D).

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