Question

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

Answer 1

Step-by-step 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 ]

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

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

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

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

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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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