Question

Find the value of x and y given that p//q. Type answers alphabetically, and separate by a comma and a space

Answer 1

As angle 6y° and angle( 13y - 10 )° are interior angles on the same side of transversal their sum will be equal to 180° .

Then :-

`6y + 13y - 10 = 180`

`19y - 10 = 180`

`19y = 180 + 10`

`19y = 190`

`y = (190)/(19)`

`y = 10`

Which means :-

= 13y - 10

= 13 × 10 - 10

= 130 - 10

= 120°

Then angle 6y :-

= 6 × 10

= 60°

As angle 60° and angle 9x + 12° are a linear their sum will also add up to form 180° .

Which can be written as :-

`60 + 9x + 12 = 180`

`9x + 72 = 180`

`9x = 180 - 72`

`9x = 108`

`x = (108)/(9)`

`x = 12`

Then :-

= Angle 9x + 12

= 9 × 12 + 12

= 108 + 12

= 120°

Therefore , the value of y = 10 and the value of x = 12 .