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ANSWER

The sum of m∠DEA and m∠AEB is 180°.

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

[tex](x + 25)+(9x + 10)=180 \degree[/tex]

Group like terms to get,

[tex]x+9x=180-25-10[/tex]

Simplify, and get,

[tex]10x = 145[/tex]

Divide both sides by 10 to get,

[tex]x = 14.5[/tex]

We substitute this value to get the required angles.

[tex]m \: ∠DEA=x+25[/tex]

[tex]m \: ∠DEA = 14.5 + 25 = 39.5 \degree[/tex]

[tex]m\:∠AEB=9x+ 10[/tex]

[tex]m\:∠AEB = 9(14.5) + 10 [/tex]

[tex]m\: ∠AEB=130.5 + 10 = 140.5 \degree[/tex]

Answer:

What is the numerical sum of the degree measures of ∠DEA and ∠AEB?

✔ 180

What are the numerical measures of the angles?

x =

✔ 14.5

m∠DEA =

✔ 39.5

°

m∠AEB =

✔ 140.5

°

Step-by-step explanation:

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