Question

B. Find the value of m and n

Answer 1

n = 45

m = 135

Explanation:

The sum of the interior angles of a triangle is 180

180 - 55 - 80 = 45

m = the sum of 55 + 80

Answer 2

n= 45°;

m= 135.

Explanation:

1. Find the value of n.

The sum of all interior angles of a triangle must equa 360°. Hence, the value of n is given by the following expression:

`n+55+80=180\\ \\n=180-55-80\\\\ n=45`

2. Find the value of m.

Since "m" and "n" are opposites angles and, since there's a straight line adjacent to them, the sum of m and n should equal 180 (check the attached image). Find m with the following expression:

`45+m=180\\ \\m=180-45\\ \\m=135.`