Question

Hello everyone! I hope that everyone is having a wonderful day so far. Can someone please help me with this? I'm so confused and I don't know what to do.

Please use the following image in order to answer the question correctly:


Find m WX.(The symbol is in the image below)


What is the degree measurement of m WX? (The symbol is in the image below)


Please show all the work on how you got your answer.(If you don't have an explanation, it's fine just please show me the work)

Answer 1

100 degrees.

Explanation:

The angle subtended by the arc WY is half the value of WY . so measure of the arc WY = 2 * 75 = 150 degrees.

Now WX = 360 - 150 - 110

= 100 degrees.

Answer 2

100 degrees

Explanation:

Angle X is an inscribed angle of the minor arc WY. The rule in math is that the inscribed angle is half the measure of the arc it intercepts; in this case, the intercepted arc is WY.

Since angle X is 75 degrees, then minor arc WY is 75 * 2 = 150 degrees.

All the arcs of a circle must add up to 360 degrees. We know that minor arc XY is 110 degrees and the minor arc WY is 150 degrees. So, the measure of minor arc WX should be: 360 - 110 - 150 = 100.

Thus, the answer is 100 degrees.

Hope this helps!