Question

Geometry PLS HELP due soon

Answer 1

(3)
`x = 7.5` and
`y = 51`

(4)
`x = 6`

Explanation:

Question 3

Required

Solve for x and y

We have:

`16x - 18 + 10x +3 = 180` --- angle on a straight line

Collect like terms

`16x + 10x = 180 + 18 - 3`

`26x = 195`

Solve for x

`x = 195/26`

`x = 7.5`

Also:

`16x - 18 = 2y` ---- opposite angles

So, we have:

`16 * 7.5 - 18 = 2y`

`120 - 18 = 2y`

`102 = 2y`

Divide by 2

`51 = y`

`y = 51`

Question 4:

Required

Solve for x

We have:

`11x - 2 + 5x - 4 = 90` ---- angle at right-angled

Collect like terms

`11x + 5x = 90 +2 + 4`

`16x = 96`

Divide by 16

`x = 6`