Q:

ASAP!!! HELP, PLEASE. I REALLY NEED IT.​

Accepted Solution

A:
It would help if they put some labels on the picture.y looks easy.  We do that first.   The subtended angle is half the central angle, so half the arc measure.  SoAnswer: y  = 23 degreesOK, z next.  Clearly the figure isn't to scale; compare that 34 degrees and the 46 degrees.   Anyway, it's 360 degrees around the circle, so that leavesz = 360 - (160+46+34) = 120Answer: z = 120 degreesx is not really determined unless that we're supposed to assume that where the left side touches the circle is a tangent.   Let's call that point T.  Let's call X and Y the vertices near x and y on the figure.  We'll call the center C. Clearly we can extend the base XY of the triangle, call the endpoint X and connect T to it.  So unless we have the tangent constraint or something else, x isn't determined.So we'll assume XT is tangent to the circle.  Angle TYX, the vertex by y, is half of 46+34, so TYX=40 degrees.  TCY is an isosceles triangle, two radii for sides.  Angle TCY=160 degrees. so CYT=CTY=10 degrees.  The radius and the tangent make a right angle so that makes angle XTY=90+10=100.  We have XTY=100, TYX=40 so that leaves TXY=40, and the triangle in the figure is isosceles.Answer: x = 40 degrees