leporec23 leporec23
  • 04-01-2022
  • Mathematics
contestada

Geometry question

If < A and < B are supplementary, and < A = 3x - 5 degrees, and < B = x + 11 degrees what is x.

Respuesta :

jimthompson5910 jimthompson5910
  • 04-01-2022

Answer in fraction form:  x = 87/2

Answer in decimal form:  x = 43.5

========================================================

Work Shown:

Supplementary angles always add to 180.

angleA+angleB = 180

(3x-5)+(x+11) = 180

(3x+x) + (-5+11) = 180

4x+6 = 180

4x = 180-6

4x = 174

x = 174/4

x = 87/2

x = 43.5

----------

Extra info:

Based on that x value, we can write,

  • angleA = 3x-5 = 3*43.5-5 = 125.5
  • angleB = x+11 = 43.5+11 = 54.5

As a check, angleA+angleB = 125.5+54.5 = 180. The answer is confirmed.

Answer Link

Otras preguntas

Why are they called apartments if they´re built together?
About 37 percent of Ohio's land was used for farming.
Is the air around us organic
One pound equals sixteen ounces right?
The Baby Boomers caused a shift in media and a big change in television programming in the 80s. a. True b. False
explain the meaning of the word "par excellence".
Asking questions is an important process because ____________________________ A).it leads to the single solution to a problem. B).it allows one to fully examine
What is half-life? a. Half-life is a term that describes the time it takes for half of a particle to disintegrate c. Half-life is a term that describes the tim
What was one condition of the Compromise of 1850? a. Maine was admitted to the Union as a free state. b. Missouri was admitted to the Union as a slave state.
When the Romans left Britain, who took over the land?