Question

Find the value of b and give reasoning in the image below

Answer 1

b = 104°

Explanation:

<DEA = <DAE (given)

Now,

<DEA + 142 = 180° (linear pairs)

<DEA = 180° - 142°

so, <DEA = 38°

Now,

<DEA + <DAE + b = 180° (sum of angles of triangle)

or, 38° + 38° + b = 180° (<DEA = <DAE)

or, b = 180° - 76°

so, b = 104°