isabelbean200649
isabelbean200649 isabelbean200649
  • 28-03-2022
  • Mathematics
contestada

Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?

45°
60°
120°
135°

Respuesta :

subtomex0
subtomex0 subtomex0
  • 28-03-2022

[tex]x + y = 90[/tex]

[tex]x = 3y[/tex]

[tex]3y + y = 90[/tex]

[tex]4y = 90[/tex]

[tex]y = 15[/tex]

[tex]x = 3(15) = 45[/tex]

Answer Link
Lenvy
Lenvy Lenvy
  • 28-03-2022

Answer:

45 °

Step-by-step explanation:

Knowing that:

Supplementary Angle = 180 °

Angle x is 3 time the measure of angle y.

Solve:

Equation below:

x + y = 180

x = 3y

Substitute

3y + y =180

4y = 180

Divide both sides by 4

4y/4 = 180/4

y = 45

Value of x:

x = 3 × 45

x = 135

Therefore the measure of angle x is 135.

x = 45

y = 135

~Lenvy~

Answer Link

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