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Rzqust [24]
3 years ago
6

Pls help and I’ll give BRAINLEST

Mathematics
1 answer:
Ghella [55]3 years ago
6 0
3rd and 5th one I think sorry if I’m wrong
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Circle D is shown. Line segments D E, D F, D G, and D H are radii. Angle E D F is 55 degrees, angle F D G is 70 degrees, and ang
aalyn [17]

Answer:

see the explanation

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of arc EH

Remember that the measure of the complete circle is equal to 360 degrees

so

arc\ EH+arc\ EF+arc\ FG+arc\ GH=360^o

Remember that

arc\ EF=m\angle EDF ----> by central angle

arc\ FG=m\angle FDG ----> by central angle

arc\ GH=m\angle GDH ---> by central angle

substitute the given values

arc\ EH+55^o+70^o+110^o=360^o

arc\ EH=360^o-235^o=125^o

step 2

Which arc is congruent to Arc E H?

we know that

arc\ EFG=arc\ EF+arc\ FG=55^o+70^o=125^o

therefore

arc EH is congruent with arc EFG

or

arc EH is congruent with minor arc GE

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