Question

1.what is the measure in degrees of angle x.

2.what is the measure in degrees of angle y
Show your work

Answer 1

✰ Solution :-

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1. Here,

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`\sf \longrightarrow x + 45^\circ = 180^\circ` ( Linear pair of angles measure upto 180° )

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Thus,

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`\sf \longrightarrow x + 45^\circ = 180^\circ \\ \\ \\ \sf \longrightarrow x = 180^\circ - 45^\circ \\ \\ \\ \sf \longrightarrow \underline{ \boxed{ \frak{ \blue{ x = 135^\circ }}}} \: \star \: \: \: \: \: \: \: \\ \\`

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Now, for y,

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`\sf \longrightarrow \underline{ \boxed{ \sf{ \orange{y = 45^\circ}}}} \: \star` ( Vertically Opposite Angles)

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`\underline{\rule{230pt}{2pt}}`

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