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Question #2
Find the measure of UK
T
99
O
U
87 R
S
K

Question #2 Find the measure of UK T 99 O U 87 R S K-example-1
User Vinu K N
by
7.7k points

1 Answer

6 votes

Answer:

UK = 75°

Explanation:

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

∠ TRS =
(1)/(2) (TS + UK) , that is

87° =
(1)/(2) (99 + UK) ← multiply both sides by 2 to clear the fraction

174° = 99° + UK ( subtract 99° from both sides )

75° = UK

User Tanushree
by
8.9k points

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