55snk2f7th
55snk2f7th 55snk2f7th
  • 04-01-2024
  • Mathematics
contestada

Interior and exterior angles Find x.

Interior and exterior angles Find x class=

Respuesta :

jimrgrant1 jimrgrant1
  • 04-01-2024

Answer:

x = 4

Step-by-step explanation:

The measure of a chord- chord angle is half the sumof the measures of the arcs intercepted by the angle and its vertical angle

∠ UTV is a chord- chord angle , then

∠ UTV = [tex]\frac{1}{2}[/tex] ( UV + HW ) ← substitute values )

4 + 28x = [tex]\frac{1}{2}[/tex] ( 154 + 78)

4 + 28x = [tex]\frac{1}{2}[/tex] (232)

4 + 28x = 116 ( subtract 4 from both sides )

28x = 112 ( divide both sides by 28 )

x = 4

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