Question

If someone can pls give the answer with steps that would be greatly appreciated :)

Answer 1

`\sf \bf {\boxed {\mathbb {TO\:FIND:}}}`

The measures of
`x` and
`y`.

`\sf \bf {\boxed {\mathbb {SOLUTION:}}}`

`\implies {\blue {\boxed {\boxed {\purple {\sf {x\:=\: 210°\:and\:\:y\:=\: -30°}}}}}}`

`\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:EXPLANATION:}}}`

An exterior angle of a triangle is equal to sum of two opposite interior angles.

And so we have,

`40° = 70° + y`

`➪ \: y= 40° - 70°`

`➪ \: y = - 30°`

Also,

`\sf\pink{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}`

`y` +
`x` =
`180°`

`➪ \: -30° + x= 180°`

`➪ \:x = 180° + 30°`

`➪ \:x = 210°`

`\sf\purple{Therefore,\:the\:measures \:of\:the\:unknown\:angles\:are\:`

`\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}`