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Sergeu [11.5K]
3 years ago
11

Find the measure of Angle B A. 50° B. 55° C. 60° D. 65°

Mathematics
1 answer:
kondaur [170]3 years ago
8 0

Option B. 55° is the correct answer

Step-by-step explanation:

"The sum of interior angles of a triangle is always 180°"

Given

m∠A=(3x+1)°

m∠B=(2x-1)°

m∠C = 40°

We know that

m∠A+m∠B+m∠C=180°

Putting the values of angles

(3x+1) +(2x-1) +40 = 180\\3x+1+2x-1+40 = 180\\5x+40=180\\

Subtracting 40 from both sides

5x+40-40=180-40\\5x=140

Dividing both sides by 5

\frac{5x}{5} = \frac{140}{5}\\x=28

We have to find Angle B,

So

m∠B = 2x-1 = 2(28)-1 = 56-1 = 55°

Hence,

m∠B=55°

Option B. 55° is the correct answer

Keywords: Triangle, Interior angles

Learn more about triangles at:

  • brainly.com/question/12896802
  • brainly.com/question/12973601

#learnwithBrainly

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