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Mariana [72]
3 years ago
10

What are the numerical measures of the angles?

Mathematics
2 answers:
vredina [299]3 years ago
7 0
ANSWER

The sum of m∠DEA and m∠AEB is 180°.

Reason: The sum of angles on a straight line is always 180°.

(x + 25)+(9x + 10)=180 \degree

Group like terms to get,

x+9x=180-25-10

Simplify, and get,

10x = 145

Divide both sides by 10 to get,

x = 14.5

We substitute this value to get the required angles.

m \: ∠DEA=x+25

m \: ∠DEA = 14.5 + 25 = 39.5 \degree

m\:∠AEB=9x+ 10

m\:∠AEB = 9(14.5) + 10

m\: ∠AEB=130.5 + 10 = 140.5 \degree
irga5000 [103]3 years ago
5 0

Answer:

Step-by-step explanation:

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