Answer:
The measures of angles of triangle EFQ are
1) 
2) 
3) 
Step-by-step explanation:
step 1
Find the measure of arc QD
we know that
The inscribed angle is half that of the arc it comprises.

substitute the given value



step 2
Find the measure of arc FQ
we know that
---> because ED is a diameter (the diameter divide the circle into two equal parts)
substitute the given values


step 3
Find the measure of angle EFQ
we know that
The inscribed angle is half that of the arc it comprises.

substitute the given value

step 4
Find the measure of angle FEQ
we know that
The inscribed angle is half that of the arc it comprises.

substitute the given value

step 5
Find the measure of angle EQF
we know that
The inscribed angle is half that of the arc it comprises.

substitute the given value
