2 years ago

Find the value of d.

Mathematics

1 answer:

GaryK [48]2 years ago

8 0

Answer:

Step-by-step explanation:

Comment

The rule that governs this situation is the average of arc d and 94 = the angle where the chords cross.

Givens

Arc 1 = 94

Arc2 = d

interior angle = 75

Formula

(d + 94)/2 = interior angle/1

Solution

(d + 94)/2 = interior angle/1 Cross Multiply

1*(d + 94) = 75 *2 Combine

d + 94 = 150 Subtract 94 from both sides

d + 94 - 94 = 150 - 94 Combine

d = 56

Answer: d = 56

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