juanluvssoccer3744 juanluvssoccer3744
  • 24-01-2021
  • Mathematics
contestada

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?

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cristoshiwa cristoshiwa
  • 25-01-2021

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

[tex]92=x.(\frac{1}{2})[/tex]

[tex]92=\frac{x}{2}[/tex]

Value of x is

[tex]x=92(2)[/tex]

x = 184

The value of x is 184°.

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