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

What are the numerical measures of the angles?

Answer :

The value of angles x, ∠DEA, and ∠AEB are 14.5, 39.5, and 140.5 degrees respectively.

What is an angle?

An angle in Euclidean geometry is composed of two rays that share a common terminal and are known as the angle's sides and vertices, respectively. In the plane where they are positioned, two rays can create angles. When two planes overlap, angles are also created. These are the so-called dihedral angles. The angle formed by the rays that are perpendicular to the two intersecting curves at the point of junction is another property of intersecting curves. The length of an angle or rotation can also be described using the word angle.

Calculations:

Supplementary angles are angles that sum up to 180degrees.

We can see that:

m

x+25+9x+10 = 180

10x + 35 = 180

10x = 180 - 35

10x = 145

x = 145/10

x = 14.5

Get ∠DEA

∠DEA = x + 25

∠DEA = 14.5 +25

∠DEA = 39.5 degrees

Get ∠AEB:

∠AEB = 9x+10

∠AEB = 9(14.5) + 10

∠AEB = 130.5 + 10

∠AEB = 140.5 degrees

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Rewritten by : Jeany

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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