Find the measure of Angle B A. 50° B. 55° C. 60° D. 65°
Accepted Solution
A:
Option B. 55° is the correct answerStep-by-step explanation:"The sum of interior angles of a triangle is always 180°"Givenm∠A=(3x+1)°m∠B=(2x-1)°m∠C = 40°We know thatm∠A+m∠B+m∠C=180°Putting the values of angles[tex](3x+1) +(2x-1) +40 = 180\\3x+1+2x-1+40 = 180\\5x+40=180\\[/tex]Subtracting 40 from both sides[tex]5x+40-40=180-40\\5x=140[/tex]Dividing both sides by 5[tex]\frac{5x}{5} = \frac{140}{5}\\x=28[/tex]We have to find Angle B,Som∠B = 2x-1 = 2(28)-1 = 56-1 = 55°Hence,m∠B=55°Option B. 55° is the correct answerKeywords: Triangle, Interior anglesLearn more about triangles at:brainly.com/question/12896802brainly.com/question/12973601#learnwithBrainly