KOAL
contestada

PLEASE HELP ASAP

Given: circle k(O), m FE =56°, FD=ED, m∠EFD=76°
Find: m∠EFO

Respuesta :

frika

Answer:

62°

Step-by-step explanation:

If mEF=56°, then ∠EOF=56° as central angle subtended on the arc EF.

Consider isosceles triangle FOE (this triangle is isosceles, because OF=OE as radii of the circle k(O)). In this triangle, angles adjacent to the base EF are congruent. Since the sum of the measures of all interior angles in triangle is 180°, then

m∠EFO=m∠OEF=1/2(180°-56°)=62°.

Actually, point D is extra to solve this question.

Ver imagen frika
RELAXING NOICE
Relax