Mathematics
Grade9
Easy
Question
In the diagram, if m∠2 = 62, find m∠1, m∠3, and m∠4.
- 118, 118, 62
- 120, 120, 60
- 146, 146, 34
- 160, 160, 20
Hint:
They are always equal to each other. In other words, whenever two lines cross or intersect each other, 4 angles are formed. We can observe that two angles that are opposite to each other are equal and they are called vertical angles.
The correct answer is: 118, 118, 62
m∠4 and m∠2 are vertical angles, so they are congruent.
m∠4 = 62
m∠1 and m∠2 form a linear pair, so they are supplementary angles.
m∠1 + m∠2 = 180
m∠1 = 180 – 62 = 118
m∠1 and m∠3 are vertical angles, so they are congruent.
m∠3 = 118.
Hence the correct option is A.
Vertical angles are formed when two lines meet each other at a point.
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