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kramer
3 years ago
7

Refer to the figure below. If m<60 degrees l, find the measure of the other angles. Show your work(or explain) to receive ful

l credit.
Answer: m<2=

Answer: m<3=

Answer: m<4=

Mathematics
1 answer:
gladu [14]3 years ago
5 0
All of the angles combined =360 degrees

Vertical angles are congruent, so if angle 1 = 60, so does angle 3

Logically we have to find the measure of angle 4 and angle 2 combined and divide by 2

60 + 60 = 120

360 - 120 = 240

240 / 2 = 120

angle 4 = 120
angle 2= 120

angle 3 = 60

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8 0
3 years ago
Please help!<br><br>In circle Y, what is m?<br><br><br>82°<br><br>100°<br><br>106°<br><br>118°
ss7ja [257]

Answer:

<em>The correct option is:  82°</em>

Step-by-step explanation:

In the given diagram, two chords RT and SU are intersecting.

According to the <u>Angle of intersecting chord theorem</u>, "<em>If two chords intersect inside a circle, then the measure of the angle formed is one half the sum of the measure of the arcs intercepted by the angle and its vertical angle</em>."

That means here......

94\°=\frac{1}{2}(m\widehat{RS}+m\widehat{TU})\\ \\ 94\°=\frac{1}{2}(106\°+m\widehat{TU})\\ \\ 2(94\°)=106\°+m\widehat{TU}\\ \\ 188\°=106\°+m\widehat{TU}\\ \\ m\widehat{TU}=188\°-106\°=82\°

So, the measure of arc TU is 82°

5 0
3 years ago
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