Answer:
Part 1) The measure of angle EYL is 
Part 2) The measure of arc EHL is
and the measure of arc LVE is 
Step-by-step explanation:
we know that
The measurement of the outer angle is the semi-difference of the arcs which comprises
Part 1)
Let
x------> the measure of arc LHE
y----> the measure of arc LVE
we know that


Find the value of y

<em>Find the measure of angle EYL</em>

substitute the values

Part 2)
Let
x------> the measure of arc EHL
y----> the measure of arc LVE
we know that
-----> equation A


substitute


--------> equation B
equate equation A and equation B and solve for y




Find the value of x

therefore
The measure of arc EHL is 
The measure of arc LVE is 