MATH SOLVE

4 months ago

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