sweetlitzi13 sweetlitzi13
  • 25-05-2021
  • Mathematics
contestada

m AC = 158°
m CH = ?
mXX = 68°

m AC 158 m CH mXX 68 class=

Respuesta :

aklee18oo
aklee18oo aklee18oo
  • 25-05-2021

Answer:

mCH = 22°

Step-by-step explanation:

Since a secant and tangent intersect on the outside of a circle, the measure the angle formed by them or x would be 1/2 the difference of the larger and smaller arcs intercepted. The larger arc would be AC, while the smaller would be CH. We can model the situation using an equation:

m<X = 1/2(mAC - mCH)

And we can substitute:

68 = 1/2(158 - mCH)

136 = 158 - mCH

mCH = 22°

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