2 answers:
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
:D
<u>Answer: </u>
x = 14.5°
∠DEA = 39.5°
∠AEB = 140.5°
<u>Step-by-step explanation: </u>
<u>Finding x: </u>
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°
<u>Finding ∠DEA: </u>
∠DEA = x + 25° = 14.5 + 25
∠DEA = 39.5°
<u>Finding ∠AEB: </u>
∠AEB = 9x + 10 = 9(14.5) + 10
∠AEB = 140.5°
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