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IrinaVladis [17]
3 years ago
5

In circle E shown, chords AB and CD are parallel. (a) What does this information tell you about 1  and 2  ? Why? (b) Given you

r answer to (a), what can now be said about  AC and  BD? Why?
Mathematics
1 answer:
sp2606 [1]3 years ago
4 0

Answer:

6835

Step-by-step explanation:

58gfbhfm

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Please help and thank you
Ksivusya [100]

Answers: Angle A is 36 degrees, angle C is 54 degrees

=================================================================

Work Shown:

The angles A and C are complementary, meaning they add to 90 degrees.

(Angle A) + (Angle C) = 90

(2x-4) + (2x+14) = 90

(2x+2x)+(-4+14) = 90

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4x+10-10 = 90-10 .... subtract 10 from both sides

4x = 80

4x/4 = 80/4 ..... divide both sides by 4

x = 20

If x = 20, then,

angle A = 2x-4 = 2*20-4 = 40-4 = 36 degrees

angle C = 2x+14 = 2*20+14 = 40+14 = 54 degrees

Note how A+C = 36+54 = 90 which helps confirm our answers.

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