Question

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

Answer 1

Option (4)

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)=(1)/(2)(m\hat{RS}+m\hat{UT})`

95° =
`(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.