What is the measure of x

Answer:
x = 75°
Step-by-step explanation:
From the figure it appears that:
[tex] m\angle B = 36\degree [/tex]
and
[tex] m\angle D = 39\degree [/tex]
x is the measure of the exterior angle of [tex] \triangle BDH[/tex]
Therefore, by exterior angle theorem:
[tex] x = m\angle B+ m\angle D [/tex]
[tex] x = 36\degree+ 39\degree [/tex]
[tex] x =75\degree [/tex]