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33 votes
33 votes
Find the value of a, b, c,

and d.
76
to the document will
32
go to (1,1)
go to (-5, 1)
a a = 32, b = 26, C = 104, d = 90
b) a = 76, b = 52, c = 90, d = 90
c) a = 38, b = 52, c= 90, d = 90
d) a = 38, b = 52, c = 104, d = 90
e) a = 76, b = 26, C = 104, d = 180
go to (0, 2)
go to (7,0)
go to (-3,2)

Find the value of a, b, c, and d. 76 to the document will 32 go to (1,1) go to (-5, 1) a-example-1
User Broo
by
2.7k points

1 Answer

23 votes
23 votes

Answer:

The answer is D

Explanation:

1.Angle D is 90 becuase any angle inscribed in a semi circle is a right angle.

2.Since c and 76 form a semi-circle. They add up to 180 so c=104.

3.Angle A is a inscribed angle of arc 76. So that means angle A is half of the arc 76.

Angle A=38.

4. Angle B can be found two ways,

  • Using triangle interior theorem, since we know 90 and 38 as our given degree, a triangle has 180 degrees, so our third angle ,b will add up to 180 so it will be 52.
  • Angle b is a inscribed angle of arc c so it is half of arc C or 104.
  • Angle B=52

D is the answer

User Natxo
by
2.2k points