Answer:
B
Explanation:
the sum of the 3 angle measures in a triangle is 180°
sum the 3 given angles, equate to 180 and solve for x
4x + 6 + 7x - 14 + 48 - x = 180 ← collect like terms on left side
10x + 40 = 180 ( subtract 40 from both sides )
10x + 40 - 40 = 180 - 40 ( simplify both sides )
10x = 140 ( divide both sides by 10 )
x = 14
substitute x = 14 into each of the 3 given angles
4x + 6 = 4(14) + 6 = 56 + 6 = 62°
7x - 14 = 7(14) - 14 = 98 - 14 = 84°
48 - x = 48 - 14 = 34°
The smallest angle measure is 34°