3 years ago

If YU= YV ST=16 mQS=34 and mRT=98 find each measure will mark brainliest

Mathematics

1 answer:

aksik [14]3 years ago

8 0

Answer:

QR=8

QU=76

Measure of arc ST=114°

Measure of arc QR=114°

Measure of arc XT=57°

Step-by-step explanation:

Given

YU=YV

ST=16

mQS=34

mRT=98

Using Pythagoras theorem,

QR=8

QU=76

QR=ST

So they both span the same arc.

Let the arc=x

360 - QS - RT = QR + ST

Recall QR=ST

360 - 34 - 98 = x + x

228 = 2x

X=228/2

X=114°

Therefore, measure of arc ST and arc QR=114° each

Measure of the span of arc XT = (1/2) of (arc ST)

= (1/2)(114°)

= 57°

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