Question

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Given the diagram of parallelogram LMNO, find measurement of angle M

A.
15°
B.
25°
C.
60°
D.
90°

Answer 1

C. is the answer 60.

Answer 2

60 degrees

Explanation:

Given is a parallelogram LMNO

Angles are given as 4r , 3t-1, 3s and 2t+10

Since in a parallelogram opposite sides are parallel, we have

sum of adjacent angles =180:

4r+2t+10 =180 ... i

Also opposite angles equal

Hence 3t-15 = 2t+10

t =25

Substitute this

in angle M = 3t-15

=3(25)-15

=60