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4 years ago

PLEASE HELP ASAP!!

Mathematics

2 answers:

stellarik [79]4 years ago

8 0

Hello there

1) 180°

2) 180°= (x+25)+(9x+10)

180°= x+25+9x+10

180°=10x+35

-10x=35-180

-10x=-145

x=14.5

DEA°= 14.5+25=39.5°

AEB°= 9•14.5+10=140.5

vlabodo [156]4 years ago

5 0

Answer:

x = 14.5°

∠DEA = 39.5°

∠AEB = 140.5°

Step-by-step explanation:

Finding x:

We are to find the value of x. We know that the sum of supplementary angles on a straight line is 180°. Therefore, we can write it as:

x +25 + 9x + 10 = 180

10x + 35 = 180

10x = 180 - 35

x = 145/10

x = 14.5°

Finding ∠DEA:

∠DEA = x + 25° = 14.5 + 25

∠DEA = 39.5°

Finding ∠AEB:

∠AEB = 9x + 10 = 9(14.5) + 10

∠AEB = 140.5°

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