madisonmaryclar madisonmaryclar
  • 07-02-2019
  • Mathematics
contestada

PLEASE HELP ASAP WILL MARK BRAINLIEST
Triangle ABC has angle measures as shown.
B. What are the values of angles A and B? Show your work.

PLEASE HELP ASAP WILL MARK BRAINLIEST Triangle ABC has angle measures as shown B What are the values of angles A and B Show your work class=

Respuesta :

AlbertThomas
AlbertThomas AlbertThomas
  • 08-02-2019

Answer:

x = 30; m<A = 25; m<B = 120  

Step-by-step explanation:

The sum of the measures of a triangle is 180 degrees.

Therefore m<A + m<B + m<C = 180

In other words,

(x -5) + (3x + 30) + 35 = 180, or

4x + 60 = 180, which means 4x = 120 and x = 30.

The measure of angle A = x - 5 = 30 - 5 = 25

The measure of angle B = 3x + 30 = 3(30) + 30 = 120

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