#### kitam965

##### New member
Given: measure of arc HL =40°, measure of EV =130°, measure of VL =110°.
Find: m∠EYH.

#### Dr.Peterson

##### Elite Member
Just for fun I drew the figure to scale, and discovered that the problem is wrong -- it's overspecified, with inconsistent data. The three lines don't intersect at Y, but at three points. It should be possible to figure out one of the arcs from the other two, though I haven't worked that out yet.

#### pka

##### Elite Member
Given: measure of arc HL =40°, measure of EV =130°, measure of VL =110°.
Let's use Prof. Peterson's diagram.
$$\displaystyle m(\angle VYE)=\tfrac{1}{2}\{m(arc[EV])-m(arc[HE])\}$$