Answer:
[tex] \large{ \tt{❃ \: EXPLANATION}} : [/tex]
- We're provided : [tex] \tt{ \angle \: CDE= 60 \degree \: and \: \angle \: CED = 58 \degree }[/tex] and we're asked to find out m [tex] \angle \: 2[/tex].
- You should remember : The sum of angles of a triangle is always 180°.
[tex] \large{ \tt{❀ \: LET'S \: START}} : [/tex]
- Set up an equation and solve :
[tex] \boxed{ \large{ \tt{⋆ \: m \: \angle \: d \: + m \: \angle \: e + } \: m \: \angle \: 2} = 180 \degree \tt( \: Sum \: of \: angles \: of \: a \: triangle)}[/tex]
[tex]\large{ \tt{↦ \: 60 \degree + 58 \degree + m \: \angle \: 2} = 180 \degree}[/tex]
[tex] \large{ \tt{↦118 \degree + m \angle \: 2 \: = 180 \degree}}[/tex]
[tex] \large{ \tt{↦ \: m \angle \: 2 = 180 \degree - 118 \degree}}[/tex]
[tex] ↦ \boxed{\large{ \tt{m \: \angle \: 2 = 62 \degree}}}[/tex]
- [tex] \boxed{ \boxed{ \large{ \tt{⇝ \: OUR \: FINAL \: ANSWER : \boxed{ \underline{ \tt{C. \: 62 \degree}}}}}}}[/tex]
۵Hope I helped! ツ
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