Question

What is mZD

Enter your answer in the box. I need help with test :\ ..
​

Answer 1

m∠D = 32°

Explanation:

From the figure attached,

In ΔABE,

By the property of a triangle,

m∠AEB + m∠ABE + m∠AEB = 180°

14° + 45° + m∠AEB = 180°

m∠AEB = 180° - 59°

m∠AEB = 121°

Since, m∠AEB = m∠CED = 121° [Vertical angles]

Similarly, in triangle CDE,

m∠ECD + m∠CED + m∠EDC = 180°

27 + 121 + m∠CDE = 180

m∠CDE = 180 - 148

m∠D = 32°