Question

Can someone help me on number 8?

Answer 1

The sum of the interior angles of a quadrilateral is 360. So, we have

`\hat{R}+\hat{S}+\hat{T}+\hat{U}=360`

Since
`\hat{R}=\hat{T}` and
`\hat{U}=\hat{S}`, the formula becomes

`2\hat{R}+2\hat{S}=360`

which simplifies to

`\hat{R}+\hat{S}=180`

Substitute the expressions for R and S:

`(6x-4)+(2x+8)=8x+4=180 \iff 8x=176 \iff x=22`