Question

Find the values of the variables.

n=
m=

Answer 1

n = 27

m = 36

Explanation:

The isosceles triangle with n° as its base angle will have a sum of angles that is 180°.

2n° +126° = 180°

n +63 = 90 . . . . . . divide by 2°

n = 27 . . . . . . . . . subtract 63

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The external angle 126° is the sum of the remote interior angles m° and 90°.

m° +90° = 126°

m = 36 . . . . . . . . . . divide by °, subtract 90