Question

2

3
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The above figure is a parallelogram with m22-4x-14 and m/4-2x+23. Find the m/3
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Answer 1

The angle 3 of the parallelogram is: m∠3 = 121°

How to find the angle of the parallelogram?

We are given the angles of the paralleogram as:

m∠2 = 4x - 15

m∠4 = 2x + 23

We know that opposite angles of a parallelogram are congruent. Thus:

4x - 14 = 2x + 23

2x = 37

x = 18.5

Thus:

m∠2 = 4(18.5) - 15

m∠2 = 59°

m∠3 is supplementary to m∠2 and as such:

m∠3 = 180 - 59

m∠3 = 121°