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I need help on this, thanks

I need help on this, thanks-example-1
User MikkaRin
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2 Answers

25 votes
25 votes

Answer: m<1 = 151 m<2 = 29 m<3 = 151

User Ray K
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26 votes
26 votes


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


\qquad \tt \rightarrow \:\angle1 = 151°


\qquad \tt \rightarrow \: \angle2 = 29 \degree


\qquad \tt \rightarrow \: \angle3 = 151 \degree

____________________________________


\large \tt Solution \: :

We can use angle pairs of intersecting lines to find the remaining angles :


\qquad \tt \rightarrow \: \angle4 + \angle1 = 180 \degree

[ linear pair ]


\qquad \tt \rightarrow \: 29 \degree + \angle1 = 180 \degree


\qquad \tt \rightarrow \: \angle1 = (180 - 29) \degree


\qquad \tt \rightarrow \: \angle1 = 151\degree

next,


\qquad \tt \rightarrow \: \angle2 = \angle4

[ by vertical opposite angles ]


\qquad \tt \rightarrow \: \angle2 = 29 \degree

and,


\qquad \tt \rightarrow \: \angle3 = \angle1

[ by vertical opposite angles ]


\qquad \tt \rightarrow \: \angle3 = 151 \degree

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

User Jkrcma
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