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mojhsa [17]
3 years ago
13

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

Geography
1 answer:
Pachacha [2.7K]3 years ago
5 0

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!

<em>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.</em>

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

  • 5x + 42 = 7x + 6
  • x = 18

<u>OPTIONAL</u>: 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.

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