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gavmur [86]
3 years ago
6

Find the measure of UT answer choice - 65 51 70 55​

Mathematics
1 answer:
muminat3 years ago
6 0

Answer:

Option (4)

Step-by-step explanation:

If two chords intersect outside the circle, angle formed between the chords will be half of the sum of measures of intercepted arcs.

From the given picture,

m(\angle RQS)=\frac{1}{2}(m\hat{RS}+m\hat{UT})

95° = \frac{1}{2}(135+m\hat{UT})

190 = 135 + m(\hat{UT})

m(\hat{UT})=190-135

m(\hat{UT}) = 55°

Therefore, option (4) will be the correct option.

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