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sweet-ann [11.9K]
4 years ago
7

In the diagram of circle R, m∠FGH is 50°. What is m? 130° 230° 260° 310°

Mathematics
2 answers:
omeli [17]4 years ago
6 0

we know that

The measurement of the exterior angle is the semi-difference of the arcs which comprises

In this problem

∠FGH is the exterior angle

∠FGH=50\°

∠FGH=\frac{1}{2}(arc\ FEH-arc\ FH)

50\°=\frac{1}{2}(arc\ FEH-arc\ FH)

100\°=(arc\ FEH-arc\ FH)  -----> equation A

arc\ FEH+arc\ FH=360\°

arc\ FH=360\°-arc\ FEH --------> equation B

Substitute equation B in equation A

100\°=(arc\ FEH-[360\°-arc\ FEH])

100\°=2arc\ FEH-360\°

2arc\ FEH=360\°+100\°

arc\ FEH=230\°

therefore

<u>The answer is</u>

The measure of arc FEH is equal to 230\°

Ulleksa [173]4 years ago
4 0

Answer:

B is the answer

Step-by-step explanation:

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