Question

Given the information below, what is m ZCBE? AC intersected by BD and BE.

Answer 1

Answer:

Angle CBE = 48 degrees.

Explanation:

I'm doing the same math quiz right now and was pretty stumped. However, it was actually really easy once you think about it enough!

Please make sure to reword my answer and remember as stated already at the beginning of the quiz, the angles are not drawn to scale.

Step 1: Take the stuff that equals CBE, turn it into an equation, and solve.

• 5x + 42 = 7x + 6
• x = 18

OPTIONAL: Plug 18 for x into the equation and you'll get 132 = 132, making it a true answer.

Step 2: Plug 18 for x into the angle measurements.

ABD: 42 degrees (given)

DBE: 5(18) = 90 degrees

CBE: Take 180 and subtract both 42 and 90. You get 48 degrees, which is your final answer.