Question

<1 and <2 form a linear pair. The measure of <2 is six more than twice the measure of <1. Find the measure of <2

Answer 1

122 Degrees

Explanation:

Since we are given that angle 1 and 2 make a linear pair:

angle 1 + angle 2 = 180 degrees ----------------------------(1)

We have also been told that angle 2 is 6 more than twice the measure of angle 1

Which means: angle 2 = (2*angle1) + 6 -------------------(2)

From putting the value of angle 2 in (1) from (2)

angle 1 + 2*angle 1 + 6 = 180

3*angle 1 = 174

angle 1 = 58 degrees -----------------------(3)

From (1) and (3):

angle 2 + 58 = 180

angle 2 = 122 degrees

Therefore, the measure of angle 2 is 122 degrees