Question

AE←→ is a straight line in the diagram.

What is the sum of the measures that represent the measures of each angle if m∠ABC=2x°, m∠CBD=3x°, and m∠EBD=4x°?


What is the measure of each angle?


Explain how an equation can be written to find m∠CBD.

Answer 1

Explain how an equation can be written to find m < CBD.

Answer 2

∠ABC= 40° ∠CBD=60° ∠EBD=80°

Explanation:

Step 1: 2x+3x+4x=180

A straight line is 180 degree's, and to get the value of the different angles, you have to add the three angle measures.

Step 2: 9x=180

Combine like terms

Step 3: x=20

Divide/ Isolate the variable

Step 4: 2(20)=40 3(20)=60 4(20)=80

Plug the answer back in