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gogolik [260]
3 years ago
10

What is the value of m?

Mathematics
1 answer:
Natasha_Volkova [10]3 years ago
4 0

Angle ADC is a linear pair ( 180° )

\angle \: ADC =  \angle \: ADE + \angle BDE

180 \degree = 112 \degree -  \angle \: BDE

\angle BDE = 180 - 112

=> BDE = 68°

Similarly,

BCE is a linear pair or straight line.

BEC = BED + DEC

=> 180° = BED + 126°

=> BED = 180° - 126°

=> BED = 54°

As we know that Sum of angles of triangle is 180° .

m + 68° + 54° = 180°

=> m + 122 = 180°

=> m = 180° - 122°

=> m = 58°

<u>The value of m is 58</u>° .

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