<4 and <5 form a linear pair and m<4 = 62. Find m<5.
Well, just use what you know.
You know that a linear pair of angles are supplementary, adding up to 180 deg.
So, if m<4 + m<5 = 180
and
m<4 = 62, what does that leave left for m<5?
Presumably if you are taking geometry, you passed algebra I
118
To find the measure of angle <5, we first need to understand what a linear pair is.
A linear pair consists of two adjacent angles (angles that share a common side and a common vertex) whose sum of measures is 180 degrees. In this case, angle <4 and angle <5 form a linear pair, so their measures must add up to 180 degrees.
Given that m<4 (the measure of angle <4) is 62 degrees, we can use this information to find the measure of angle <5.
To find m<5, we need to subtract the measure of angle <4 from 180 degrees since the sum of angles <4 and <5 is 180 degrees.
m<5 = 180 degrees - m<4
Substituting the given value for m<4:
m<5 = 180 degrees - 62 degrees
Calculating this expression:
m<5 = 118 degrees
Therefore, the measure of angle <5 is 118 degrees.