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

2.what is the measure in degrees of angle y
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1what Is The Measure In Degrees Of Angle X 2what Is The Measure In Degrees Of Angle Y Show Your Work class=

Sagot :

Solution :-

1. Here,

[tex] \sf \longrightarrow x + 45^\circ = 180^\circ [/tex] ( Linear pair of angles measure upto 180° )

Thus,

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

Now, for y,

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

[tex] \underline{\rule{230pt}{2pt}} [/tex]