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

Mathematics

1 answer:

muminat2 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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