2 Answers

Abhijith Sasikumar · Answer 1 · 2023-06-16T13:12:08+0000

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

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

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

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

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$\large \tt Solution \: :$

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 ❞

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