Question

If the measure of angle 2 is 92 degrees and the measure of angle 4 is (one-half x) degrees, what is the value of x?

Answer 1

Answer: x = 184°

Step-by-step explanation: As we can see in the figure below, angles 2 and 4 are Vertical Angles, i.e., they are angles opposite each other when two lines cross. Vertical angles are always congruent.

Then,

m∠2 = m∠4

$92=x.(\frac{1}{2})$

$92=\frac{x}{2}$

Value of x is

$x=92(2)$

x = 184

The value of x is 184°.