Question

Solve for x and y. Write the reasons next to each step.Хx+70+20-180x+90-180x=90Triangle angle sum theoremSimplitySubtraction property of equalityVertical angle theoremSubtraction property of equalityEdit my responseхуy=9070°20°toINTnDang

Answer 1

the sum of all angles of a triangle is 180,so

`\begin{gathered} x+70+20=180 \\ x+90=180 \end{gathered}`

solve x

`\begin{gathered} x=180-90 \\ x=90 \end{gathered}`

two angles opposite the vertex are equal

so

`\begin{gathered} y=x \\ y=90 \end{gathered}`