Test Index

WAEC Mathematics 2024 Paper

Question : 38

Total: 50

Find the value of x in the diagram above.

Solution:

Concept:

Use angle sum property of a triangle and supplementary angles formed by parallel lines.

Explanation:

\triangle NPM

, the sum of interior angles is

180^\circ

So,

\angle N + \angle P + \angle M = 180^\circ

65^\circ + 55^\circ + \angle M = 180^\circ

\angle M = 180^\circ - 65^\circ - 55^\circ = 60^\circ

Since

x

and

\angle M

are interior opposite angles of parallel lines, they are supplementary.

x + 60^\circ = 180^\circ

x = 180^\circ - 60^\circ = 120^\circ

Answer:

120^\circ

Go to Question:

Prev Question

Next Question