Question

Need help on this, thanks

Answer 1

x=15, y=7

Step-by-step explanation:

Angles that form a linear pair are supplementary, so:

`2(5x-5)+3x-5=180 \\ \\ 10x-10+3x-5=180 \\ \\ 13x-15=180 \\ \\ 13x=195 \\ \\ x=15 \\ \\ \\ \\ 5y+5+20y=180 \\ \\ 25y+5=180 \\ \\ 25y=175 \\ \\ y=7`

Answer 2

`x=\boxed{15}\\\\y=\boxed{7}`

Explanation:

Angles on a Straight Line Theorem

The sum of angles on a straight line is equal to 180°.

Solving for x:

`\boxed{\begin{aligned}2(5x-5)^(\circ)+(3x-5)^(\circ)&=180^(\circ)\\2(5x-5)+(3x-5)&=180\\10x-10+3x-5&=180\\13x-15&=180\\13x-15+15&=180+15\\13x&=195\\13x / 13 &=195/ 13 \\x&=15\end{aligned}}`

Solving for y:

`\boxed{\begin{aligned}(5y+5)^(\circ)+20y^(\circ)&=180^(\circ)\\(5y+5)+20y&=180\\5y+5+20y&=180\\25y+5&=180\\25y+5-5&=180-5\\25y&=175\\25y / 25 &=175/ 25 \\y&=7\end{aligned}}`

Therefore:

`x=\boxed{15}\\\\y=\boxed{7}`