Question

20. Find the measure of < DEG. (G.CO.C.10)

4
E
A. 25
B. 8
(3y + 4) A (5y-10)
C. 30
水
D
F
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O
c
3
PO
.
a

Answer 1

A. 25

Explanation:

From the diagram given, we can deduce that <D EG = <F EG

Therefore:

3y + 4 = 5y - 10

Collect like terms and solve for y

3y - 5y = -4 - 10

-2y = -14

Divide both sides by -2

y = -14/-2

y = 7

✔️m<D EG = 3y + 4

Plug in the value of y

m<D EG = 3(7) + 4

m<D EG = 25°