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I need help with number 4

I need help with number 4-example-1
User Eaydin
by
5.7k points

1 Answer

8 votes

Answer:

Explanation:

34o is an acute angle which is less than 90o

LN is a secant. It cuts the circle's circumference in two places.

TP is an arc. It is related to the the two givens by

(Large Arc - Small Arc )/2 = the exterior angle

We are looking for the large arc. Call it x

Small arc = 50

Exterior angle = 34

(x - 50)/2 = 34 Multiply both sides by 2

x - 50 = 2 *34

x - 50 = 68 Add 50 to both sides.

x = 68 + 50

x = 118

So the arc labeled TP = 118

Answer: TP = 118

User Michael Wildermuth
by
4.2k points