Question

If lines a and b are parallel, and m<8=150, what is the m<2

Answer 1

Explanation:

`\underline{\large{ \tt{G \: I \: V \: E \: N}}} :`

• Line a & b are parallel
• m ∠ 8 = 150 °

`\underline{ \large{ \tt{T \: O\: \: F \: I \: N \:D}}} :`

• m ∠ 2

`\underline{ \large{ \tt{S\: O \:L \: U \: T \: I \: O \: N}}} :`

`\large{ \tt{m \: \angle \: 8 \: + \: m \: \angle \: 2 = 180 \degree}}` [ Sum of co-interior angles ]

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`\large{ \tt{150 \degree \: + m \: \angle \: 2}} = 180 \degree`

⤑
`\large{ \tt{m \angle \: 2 \: = \: 180 \degree - 150 \degree}}`

⤑
`\large{ \tt{m \: \angle \: 2 \: = \bold{ \tt{30 \degree}}}}`

`\red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \bold{ \tt{30 \degree}}}}}}}}`

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Answer 2

Given:-

• Line A and B are || to each other
• Value of m∠8 is 150°

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To Find:-

• Value of m∠2

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Solution:-

m∠2 = 30°

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Step by Step Explanation:-

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`\begin{gathered}\:\: :\implies\sf m\angle\;8 \;+\:m\angle\;2 =180 ^(\circ)\\\\\\ :\implies\sf 150 ^(\circ)\: + m\angle\;2 = 180 ^(\circ)\\\\\\ :\implies\sf m\angle\;2 = 180 ^(\circ) - 150 ^(\circ)\\\\\\:\implies\sf m\angle\;2 = 30 ^(\circ)\end{gathered}`

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