If &ang;A and &ang;B are supplementary and m&ang;A = 40˚, what is m&ang;B? A. 40° B. 50° C. 60° D. 140°. Created by sghweyw. Math

Problem:If ∠A and ∠B are supplementary and m∠A = 40˚, what is m∠B? Choices:A. 40°B. 50°C. 60°D. 140°Given:40° + x = 180°Solution:Solve for the "x" unknown number:Checking:Answer:The answer is letter

If ∠A and ∠B are supplementary and m∠A = 40˚, what is m∠B? A. 40° B. 50° C. 60°...

Questions

sghweyw @sghweyw

October 2022 1 0 Report

If ∠A and ∠B are supplementary and m∠A = 40˚, what is m∠B?
A. 40°
B. 50°
C. 60°
D. 140°

Answers & Comments

ElaineMorgan12

Problem:

If ∠A and ∠B are supplementary and m∠A = 40˚, what is m∠B?

Choices:

A. 40°
B. 50°
C. 60°
D. 140°

Given:

40° + x = 180°

Solution:

Solve for the "x" unknown number:

$\: \: \rm{∠A = ∠B} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \large \tt{40 \degree + x = 180 \degree} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \large \tt {x = 180 \degree - \: 40 \degree} \\ \large{ \boxed{ \tt{x = 140 \degree}}} \: \: \: \: \: \: \: \: \: \: \: \: \: \:$

Checking:

$\: \: \: \: \: \: \: \rm{∠A = ∠B} \\ \large \tt{40 \degree + x = 180 \degree} \\ \large \tt {40 \degree + \red{140 \degree} = 180 \degree} \: \: \: \: \: \: \: \\ \: \: \: \: \: \: \: \large \boxed{\tt{180 \degree = 180 \degree}}$