What is the measure in the circles?

[lolacollins]

I have some Geometry work to complete (Really bad at geometry...) and I'm not understanding my text books explanation on how to do these problems. Could someone, in depth, explain to me how to do these problems, so I can hopefully do the rest on my own. Here are two problems I'm working on right now


What is the measure of PM?



What is the measure of PO?

Thank you!

 

[srmichael]

I have some Geometry work to complete (Really bad at geometry...) and I'm not understanding my text books explanation on how to do these problems. Could someone, in depth, explain to me how to do these problems, so I can hopefully do the rest on my own. Here are two problems I'm working on right now

View attachment 2932
What is the measure of PM?

View attachment 2932

What is the measure of PO?

Thank you!

First, how many degrees are in a circle?

Second, an arc made by a central angle is the same measure as the central angle.

Third, do you know what the red lines in your pictures mean?

'Nuff hints. Take a shot and let us know what you get for PM.

 

[lolacollins]

I want to say that PM is 96 degrees also, because it looks identical to NO....
But what about PO? An entire degree of a circle is 360.... So if I'm right with 96 degrees being the other angle than it would be 96+96+25=217 and to get it to 360 would mean 360-217 is 143, but I would think 143 degrees is too much for PO?

 

[srmichael]

I want to say that PM is 96 degrees also, because it looks identical to NO....
But what about PO? An entire degree of a circle is 360.... So if I'm right with 96 degrees being the other angle than it would be 96+96+25=217 and to get it to 360 would mean 360-217 is 143, but I would think 143 degrees is too much for PO?

Why would you think that 143 degrees is too much for PO?? Guess what? PO = 143 degrees! And PM = 96 degrees.

Good job!