Mathematics
Grade9
Easy

Question

In the diagram, if m∠2 = 62, find m∠1, m∠3, and m∠4.

  1. 118, 118, 62
  2. 120, 120, 60
  3. 146, 146, 34
  4. 160, 160, 20

hintHint:

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.