What is the value of x in this figure?

x = 65 degrees

Step-by-step explanation:

Sum of all three sides in a triangle is 180

48 + 67 + n = 180

180 - (48 + 67) = 65

The missing angle and angle X are vertical angles, so they are the same angle.

angle X = 65 degrees

answer: what are the following choices

answer: the angel abc is 30°,and the abc is a triangle where the angel bac is 90°

so ac is the half of 24=12ft,and from the pythagorean theorem we find ba

ba=√bc^2-ac^2=√576-144=√432=12√3ft

so bac is 12+12√3=12(1+√3)ft