Find the Measurements of the arc or angle indicated.
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Answer:
5) 126
6) 116
Step-by-step explanation:
5) m∠NLM is equal to the arc MN, or 63x.
To find x, use the inscribed angle theorem.
32x − 1 = ½ (63x)
64x − 2 = 63x
x = 2
Therefore:
m∠NLM = 63(2)
m∠NLM = 126
6) Using the same logic:
9x + 4 = ½ (19x + 2)
18x + 8 = 19x + 2
x = 6
Therefore:
mYX = 19(6) + 2
mYX = 116