Test Index

WAEC Mathematics 2020 Paper

Question : 18

Total: 48

In the diagram, PQ // SR. Find the value of x

Solution:

Concept:

The sum of the angles around a point is

360^\circ

Explanation:

From the diagram, the three angles at the point are

x

68^\circ

, and

246^\circ

The condition

PQ \parallel SR

tells us that these angles form a complete turn about the point.

So, their sum is

360^\circ

x + 68^\circ + 246^\circ = 360^\circ

x + 314^\circ = 360^\circ

x = 360^\circ - 314^\circ

x = 46^\circ

Answer:

x = 46^\circ

Correct option: B.

46

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