Question

Find the values of m and n

A. m=18, n=60
B. m=35, n=60
C. m=30, n=150
D. m=120, n=18

Answer 1

m = 18

n = 60

Explanation:

The sum of interior angles in a triangle is equal to 180.

We can write the following equation to find, first value of m, then the value of n:

65 + 42 + 55 + m = 180 add like terms

162 + m = 180 subtract 162 from both sides

m = 18

Now the value of n:

65 + 55 + n = 180 add like terms

120 + n = 180 subtract 120 from both sides

n = 60