The correct answer is: B. 47 degrees
Step-by-step explanation:
Given
Let A,B and C be the three angles
∠A = 8x+6
∠B = 7x-8
∠C = 5x+2
As we know that sum of angles of a triangle is 180°
Mathematically
∠A+∠B+∠C=180°
(8x+6)+(7x-8)+(5x+2) = 180°
8x+6+7x-8+5x+2=180°
20x=180°
dividing both sides by 20
20x/20 = 180/20
x= 9
The angles will be:
∠A = 8x + 6 = 8(9)+6 = 72+6 =78°
∠B = 7x-8 = 7(9)-8 = 63-8 = 55°
∠C = 5x+2 = 5(9) +2 = 47°
The smallest angle is 47°
Hence,
The correct answer is: B. 47 degrees
Keywords: Triangle, Angles
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