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7. If I || m, find the values of x and y in the diagram below.

S 7. If I || m, find the values of x and y in the diagram below.-example-1
User Wkubasik
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1 Answer

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Answer: x=13° y=9°

Explanation:

1.


(4y+27)^0=63^0\ ( As\ interior,\ cross-lying\ angles)\\4y+27^0=63^0\\4y+27^0-27^0=63^0-27^0\\4y=36^0\\

Divide both parts of the equation by 4:


y=9^0

2.

If two parallel lines are intersected by a secant, then the sum of the unilateral angles is 180°:


((5x-8)^0+63^0)+(6x-31)^0=180^0\\\\5x-8^0+63^0+7x-31^0=180^0\\\\12x+24^0=180^0\\\\12x+24^0-24^0=180^0-24^0\\\\12x=156^0\\\\

Divide both parts of the equation by 12:


x=13^0

User John Lewis
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