Will someone plis help me wit <span title="geometry's,tangents,arcs,and">geometry's,tangents,arcs,...</span> chords....?

Question

well basically they ask to find the value of x,y and z... It is a circle with a triangle in the middle with each point touching the circle. Now the right lower part of the triangle has a measure of 52 degrees the x is in the triangle at the top and the y is outside the circle on the left and z to the right also to the outside... and there is another 130 degrees at the bottom arc.how do i go about this what steps can i use to figure this out?

Answer 1

Each angle of the triangle represents an inscribed angle. The angle of the triangle &quot;cuts&quot; an arc out of the circle, and the rule is that the angle is half the measure of the arc, or the arc is twice as big as the angle.

If I understand your description correctly...

the angle of 52 degrees cuts arc y. Arc y has to be twice as big, so (2)(52) = 104 degrees

the arc of 130 degrees is cut by arc marked by x, so x is half of 130...(1/2)(130) = 65 degrees

an entire circle must equal 360 degrees...it has been cut into three arcs, and two of them are known...so 360 - (104 + 130) = 360 - 234 = 126 degrees for z

Hope that helps!