Question

In AABC, what is the measure of angle B?

B
(2x)
(x + 2)
140°
A
с
O 46°
O 489
O 70°
O 920

Answer 1

Answer: 92 degrees

Explanation:

The exterior angle measuring 140 is equal to the sum of the two remote interior angles.

(X+2) + (2x) = 140. Combine like terms.

2 + 3x = 140. Subtract 2 from both sides.

3x = 138. Divide both sides by 3.

X = 46

Angle b = 2x. Substitute 46 in for x.

Angle b = 2(46)

Angle b = 92

Answer 2

92°

Explanation:

∠C=180-140=40

∠A+∠B+∠C=180

40+2X+X+2=180

X=46

∠B=46*2=92°