Question

What is the value of m?

Answer 1

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°

The value of m is 58° .