Question

Please answer fast!!! Will give brainliest!!!

Answer 1

Answer:

The measure of angle EYH is $25\°$

Step-by-step explanation:

step 1

Find the measure of arc EH

we know that

$arc\ EV+arc\ VL+arc\ HL+arc\ EH=360\°$ ----> by complete circle

substitute the given values

$130\°+110\°+40\°+arc\ EH=360\°$

$280\°+arc\ EH=360\°$

$arc\ EH=360\°-280\°=80\°$

step 2

Find the measure of angle EYH

we know that

The measurement of the outer angle is the semi-difference of the arcs which comprises

$m$

substitute the values

$m$