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A

(x + 25)°

D

(9x + 10)°

E

C

B

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

What are the numerical measures of the angles?

A. x =

m∠DEA =

m∠AEB =

Answer :

The measures of x, ∠DEA and ∠AEB are

x = 14.5

m∠DEA = 39.5°

m∠AEB = 140.5°

From the question, we have

m∠DEA + m∠AEB = 180° (linear pair)

⇒ (x + 25)° + (9x + 10)° = 180°

⇒ x° + 25° + 9x° + 10° = 180°

⇒ 10x° + 35° = 180°

⇒ 10x° = 145°

⇒ x° = 14.5°

substituting the value, we get

m∠DEA = (9x + 10)°

= (9(14.5) + 10)°

= 39.5°

m∠AEB = (x + 25)°

= (14.5 + 25)°

= 140.5°

Addition:

The act of combining two or more items is known as addition. The process of computing the sum of two or more numbers in mathematics is called addition. It is a fundamental mathematical procedure that is frequently used in daily life. When we work with money, figure out our food bills, or figure out the time, we frequently employ addition. One-digit numbers can be added simply for solving addition problems, however for bigger numbers, we divide the numbers into columns using their corresponding place values, such as ones, tens, hundreds, thousands, and so on.

To learn more about addition visit: https://brainly.com/question/680614

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