Applying angle relationships of isosceles triangles
what is the measure of ∠egf?

what is the measure of ∠cgf?

we know that

An isosceles triangle has two equals sides and two equals angles

so

EF=GF

m∠EGF=m∠GEF

The sum of the internal angles of a triangle must be degrees

m∠EGF+m∠GEF+m∠EFG=

we have

m∠EFG=

2m∠EGF+

2m∠EGF=

2m∠EGF=

m∠EGF=

therefore

the answer Part a) is

the measure of angle EGF is

Part b) What is the measure of m∠CGF?

we know that

m∠CGF+m∠EGF= ---------> by supplementary angles

substitute values

m∠CGF+

m∠CGF=

m∠CGF=

therefore

the answer Part b) is

the measure of angle CGF is

i believe the answer to be 48

step-by-step explanation: