please answer my question I will mark you the brainliest and will follow you plz
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Answer:
∠7=100°,∠8=80°
Step-by-step explanation:
∠1+∠4=180°(linear pair)
⇒2x+y+2y+x=180°
⇒3(x+y)=180°
⇒x+y=60°.......(1)
∠4=∠6 (since alternative int. angles are equal)
⇒x+2y=3y+20
⇒x-20=y
⇒x-y=20....(2)
by simplifying eq(1),(2),we get;
y=20;x=40
∠4=∠8
x+2y=∠8
40+2(20)=∠8
⇒∠8=80°(a)
we know that,∠7+∠8=180°
∠7+80°=180°
⇒∠7=100°....(b)
hope it helps.......pls mark my ans the brainliest as u promised..................tq.........
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