Question

Find the measure of Angle B if...A & B are supplementary, and A=2x+4 B=3x+16.

a. 112
b. 32
c. 12
d. 52

Use the picture below of the isosceles triangle to solve for x & y.

a. x=47 y=43
b. x=90 y=43
c. x=90 y=86
d. x=86 y=43

Answer 1

1) because A and B are supplementary

=> 2x + 4 + 3x + 16 = 180

<=> 5x = 160

<=> x = 32

with x = 32 => angle B = 3.32 + 16 = 96 + 16 = 112

2) see in the picture, because triangle ABC is the isosceles triangle => angle A = 180 - 2.47 = 180 - 94 = 86

we also have:

2y = 86

x = y + 47

=> y = 43

x = 43 + 47 = 90