imanward18
contestada

ΔABC is an isosceles triangle in which angles B and C are congruent. If m∠B = (2x + 16)° and m∠C = (3x - 11)°, find the measure of angle A.

A) 27°
B) 40°
C) 60°
D) 70°

ΔABC is an isosceles triangle in which angles B and C are congruent If mB 2x 16 and mC 3x 11 find the measure of angle A A 27 B 40 C 60 D 70 class=

Respuesta :

UniquelyMii
40 is the answer. You have to find x by making the two equations equal the same then solve for x. Then plug in x to both equations to get the sum, add them together, then subtract it from 180 to get the sum of the last angle
2x + 16 = 3x - 11 because angles B and C are congruent
3x -2x = 16 + 11
x = 27

m<B = 2x + 16
m<B = 2(27) + 16
m<B = 56+16
m<B = 70

because B and C are congruent
m<B = m<C = 70
so 

m<A = 180 - ( 70+70)
m<A = 180 - 140
m<A = 180 = 40

answer is B) 40°

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