113k views
0 votes
What is m? 49° 77° 98° 161°

What is m? 49° 77° 98° 161°-example-1
User Llanilek
by
6.3k points

2 Answers

3 votes

Answer:

77

Explanation:

User Betorcs
by
6.5k points
0 votes

we know that

The measurement of the external angle is the semi-difference of the arcs it includes.

In this problem


21\°=(1)/(2)[arc\ RU-arc\ SU]

Solve for the measure of arc SU


42\°=[arc\ RU-arc\ SU]


arc\ SU=arc\ RU-42\°


arc\ SU=119\°-42\°=77\°

therefore

the answer is

The measure of the arc SU is
77\°

User Chris Jung
by
5.4k points