Question

Find the measure of the remote exterior angle. m∠x=(197−5n)°m∠y=(6n+22)°m∠z=(n+7)°

A. 14
B. 91
C. 21
D. 127

Answer 1

D. 127°

Explanation:

The exterior angle (x) is the sum of the remote interior angles (y, z).

Setup

x = y +z

(197 -5n) = (6n +22) +(n +7) . . . . . substituting the given expressions

Solution

Eliminating parentheses and collecting terms, we have ...

197 -5n = 7n +29

168 = 12n . . . . . . . . . add 5n-29

14 = n . . . . . . . . . . divide by 12

Then the measure of remote exterior angle x is ...

m∠x = (197 -5(14))° = (197 -70)°

m∠x = 127°