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

Answer:

$m\angle T=53^{\circ}$

Step-by-step 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:

$m\angle Z+m\angle T=180^{\circ}$

$m\angle T+2m\angle T+21^{\circ}=180^{\circ}$

$3m\angle T+21^{\circ}-21^{\circ}=180^{\circ}-21^{\circ}$

$3m\angle T=159^{\circ}$

$\frac{3m\angle T}{3}=\frac{159^{\circ}}{3}$

$m\angle T=53^{\circ}$

Therefore, the measure of angle T is 53 degrees.