Answer:
m(EDF) = 214°
Step-by-step explanation:
GIVEN :-
- Measure of minor arc FE = 146°
- Measure of minor arc DE = 90°
TO FIND :-
- Measure of major arc FE (also known as arc FDE)
FACTS TO KNOW BEFORE SOLVING :-
- Sum of all angles in a circle is 360°.
SOLUTION :-
According to the figure given in question ; in the orange circle ,
m(minor FE) + m(minor DE) + m(minor FD) = 360°
⇒ 146° + 90° + m(minor FD) = 360°
⇒ m(minor FD) = 360° - 236° = 124°
∴ m(major FE) [or] m(EDF) = m(minor DE) + m(minor FD) = 90° + 124° = 214°
