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JAMB Mathematics 2022 Paper

Question : 12

Total: 39

In the diagram above angle LNM and angle YNZ are represented by g and h respectively. Find ∠MNY

Solution:

Concept:

On a straight line, the sum of adjacent angles is

180^\circ

Explanation:

L

N

, and

Z

lie on the same straight line

LZ

The angles on this straight line are

\angle LNM = g^\circ

\angle MNY = x

and

\angle YNZ = h^\circ

Since these angles meet at point

N

on a straight line:

g^\circ + x + h^\circ = 180^\circ

Therefore:

x = 180^\circ - g^\circ - h^\circ

\angle MNY = 180^\circ - g^\circ - h^\circ

Answer:

180^\circ - g^\circ - h^\circ

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