Respuesta :
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
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:
[tex]m\angle T=53^{\circ}[/tex]
Step-by-step explanation:
We have been given that angle Z is 21 degree larger than twice the measure of angle T.
[tex]m\angle Z=2m\angle T+21^{\circ}[/tex]
We are also told that angle Z and angle T are supplementary. We can represent this information in an equation as:
[tex]m\angle Z+m\angle T=180^{\circ}[/tex]
[tex]m\angle T+2m\angle T+21^{\circ}=180^{\circ}[/tex]
[tex]3m\angle T+21^{\circ}-21^{\circ}=180^{\circ}-21^{\circ}[/tex]
[tex]3m\angle T=159^{\circ}[/tex]
[tex]\frac{3m\angle T}{3}=\frac{159^{\circ}}{3}[/tex]
[tex]m\angle T=53^{\circ}[/tex]
Therefore, the measure of angle T is 53 degrees.