Question

What is m∠DEF?

Answer 1

Answer:

m<DEF = 8y - 6

Step-by-step explanation:

Given that: DEG = $(3y +4)^{o}$, and FEG = $(5y-10)^{o}$.

The given triangle is an isosceles triangle with sides DE ≅ DF.

But,

m<DEF = DEG + FEG

            =  $(3y +4)^{o}$ + $(5y-10)^{o}$

            = 3y + 4 + 5y - 10

            = 8y - 6

m<DEF = 8y - 6

Therefore, the measure of < DEF is 8y - 6.