Question

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

Answer 1

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`