Question

Find the values of m and n.

A. m = 60, n = 12
B. m = 50, n = 20
C. m = 50, n = 16
D. m = 60, n = 24

Answer 1

D. m= 60, n= 24

Explanation:

The angle marked with blue, will also be 2m° (Vertically opposite angles)

So, 2m = (4m- 120)°

2m = 120°

m = 60°

Now, (4m-120)° = 5n° (Vertically opposite angles)

[4(60)- 120]° = 5n°

240- 120 = 5n°

120/5° = n

n= 24°

Hope this helps you