Question

1. suppose eg = 3, eb = 8, af = 7, m∠ebg = 19, m∠egf = 28, and m∠cae = 51. find each value.

a) ef
b) ag
c) ad
d) m∠efg

Explanation:

Step1: Identify congruent segments

From the figure, assume congruent - marked segments. If $EF$ and $EG$ are congruent (marked), since $EG = 3$, then $EF=3$.

Step2: Find $AG$

If $AF = 7$ and assume $FG$ and $AF$ are congruent (marked), then $AG=AF + FG=7 + 7 = 14$.

Step3: Find $AD$

No information about $AD$'s relation to given lengths, can't be determined.

Step4: Find $m\angle EFG$

No information about the relationship between $\angle EFG$ and given angles, can't be determined.

Answer:

A. $EF = 3$
B. $AG = 14$
C. Can't be determined
D. Can't be determined