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Please help me with my math

Please help me with my math-example-1

2 Answers

13 votes

Answer:

z = 98

x= 36

Explanation:

z + 82 = 180 -> due to same side interior angles adding up to 180

z = 180 - 82

z = 98

z = 5x - 82 due to opposite interior angles being equal

98 = 5x - 82

98+82 = 5x - 82+82

180 = 5x

180/5 = 5x/5

36 = x

To check:

z = 5x - 82

(98) = 5(36) - 82

98 = 180 - 82

User Renold
by
8.1k points
9 votes


\sf{\qquad\qquad\huge\underline{{\sf Answer}}}

Let's solve for z and x ~


\qquad \sf  \dashrightarrow \: 82 + z = 180

[ they form co-interior angle pair ]


\qquad \sf  \dashrightarrow \: z = 180 - 82


\qquad \sf  \dashrightarrow \: z = 98 \degree

and


\qquad \sf  \dashrightarrow \: z = (5x - 82)

[ by Alternate interior angle pair ]


\qquad \sf  \dashrightarrow \: 98 = 5x - 82


\qquad \sf  \dashrightarrow \: 5x = 98 + 82


\qquad \sf  \dashrightarrow \: 5x = 180


\qquad \sf  \dashrightarrow \: x = 180 / 5


\qquad \sf  \dashrightarrow \: x = 36 \degree

User Waquo
by
7.6k points

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