Question

What is the measure of Zx?

Angles are not necessarily drawn to scale.
B
36°
F
G
A
J
\H
200
I
399
D
E

Answer 1

Answer: 75°

Step-by-step explanation: it’s right on khan (picture for proof)

Answer 2

`\underline{\boxed{\tt \angle x=75^(o)}}`

Explanation:

We know that all angles of a triangle always add up to 180°.

`\angle BDH+\angle DBH+\angle DHB=180^o`

`39^o+36^o+\angle DHB=180^o`

`\angle DHB=105^o`

Now, ∠DHB & ∠x are supplementary angles because they form a straight line.

`\angle DHB+\angle x=180^o`

`105^o+\angle x=180^o`

`\angle x=75^o`