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creativ13 [48]
3 years ago
5

Find y in terms with x Help me pleaseee thank uu:)​

Mathematics
2 answers:
labwork [276]3 years ago
8 0

\quad \huge \quad \quad \boxed{ \tt \:Answer }

  • \tt y =  90 \degree -  \cfrac{5x}{2}

____________________________________

\large \tt Solution  \: :

The two lines are parallel, henceforth we can apply Angle pair rules.

\qquad \tt \rightarrow \:(x + 3x + x) + 2y = 180

[ Co - interior angles ]

\qquad \tt \rightarrow \:5x + 2y = 180

\qquad \tt \rightarrow \:2y = 180 - 5x

\qquad \tt \rightarrow \:y =  \dfrac{180 - 5x}{2}

\qquad \tt \rightarrow \:y =  \cfrac{180 }{2}  -  \cfrac{5x}{2}

\qquad \tt \rightarrow \:y =  90 \degree -  \cfrac{5x}{2}

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

cestrela7 [59]3 years ago
4 0

Answer:

y = 90 -5/2 x

Step-by-step explanation:

The angle on the left equals x+3x+x = 5x

The angle on the right equals 2y

The two angles are same side interior angles which are supplementary because the lines are parallel

5x+2y = 180

Solving for y

2y = 180-5x

Divide by 2

2y/2 = 180/2 -5x/2

y = 90 -5/2 x

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