Question

NO LINKS!! URGENT HELP PLEASE!!

#13 & 14

Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent.
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Answer 1

13. 105

14. 55

Explanation:

13. angle ? = 1/2 (120 + 90) = 105

14. 130 = 1/2 (205 + ?)

260 = 205 + ?

? = 260 - 205 = 55

Answer 2

105° and 55°

Explanation:

a chord- chord angle is half the sum of the measures of the arcs intercepted by the angle and its vertical angle.

13

? =
`(1)/(2)` ( QR + DP) =
`(1)/(2)` (120 + 90)° =
`(1)/(2)` × 210° = 105°

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14

`(1)/(2)` (JV + 205) = 130° ( multiply both sides by 2 to clear the fraction )

JV + 205° = 260° ( subtract 205° from both sides )

JV = ? = 55°