Question

Angle Z is 21 degrees larger than twice the measure of angle T. if angle Z and angle T are supplementary,what is the measure of angle T

Answer 1

Z = 2T + 21
supplementary angles equal 180 degrees
Z + T = 180

2T + 21 + T = 180
3T + 21 = 180
3T = 180 - 21
3T = 159
T = 159/3
T = 53 <====

Z = 2T + 21
Z = 2(53) + 21
Z = 106 + 21
Z = 127

Answer 2

`m\angle T=53^(\circ)`

Explanation:

We have been given that angle Z is 21 degree larger than twice the measure of angle T.

`m\angle Z=2m\angle T+21^(\circ)`

We are also told that angle Z and angle T are supplementary. We can represent this information in an equation as:

`m\angle Z+m\angle T=180^(\circ)`

`m\angle T+2m\angle T+21^(\circ)=180^(\circ)`

`3m\angle T+21^(\circ)-21^(\circ)=180^(\circ)-21^(\circ)`

`3m\angle T=159^(\circ)`

`(3m\angle T)/(3)=(159^(\circ))/(3)`

`m\angle T=53^(\circ)`

Therefore, the measure of angle T is 53 degrees.