Question

What are the numerical measures of the angles?


x =


m∠DEA = °


m∠AEB = °

Answer 1

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.

$m \: ∠DEA=x+25$

$m \: ∠DEA = 14.5 + 25 = 39.5 \degree$

$m\:∠AEB=9x+ 10$

$m\:∠AEB = 9(14.5) + 10$

$m\: ∠AEB=130.5 + 10 = 140.5 \degree$

Answer 2

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: