amyfrasure34 amyfrasure34
  • 11-01-2021
  • Geography
contestada

Question 1 of 10
What is the measure of JK?
A. 1250
B. 35°
C. 145
D. 550

Question 1 of 10 What is the measure of JK A 1250 B 35 C 145 D 550 class=

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akposevictor
akposevictor akposevictor
  • 16-01-2021

Answer:

A. 125°

Explanation:

Based on the angles of intersecting chord theorem, we have:

90° = ½(measure of arc NM + measure of arc JK)

Arc NM = 55°

Arc JK = ??

Plug in the value into the equation.

90° = ½(55 + JK)

Multiply both sides by 2

2*90 = 55 + JK

180 = 55 + JK

Subtract 55 from each side

180 - 55 = JK

125° = JK

JK = 125°

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