Answer:

Step-by-step explanation:
Given : 
We have to write which identity we will use to prove the given statement.
Consider 
Take left hand side of given expression 
We know

Comparing , we get, a= 180° and b = q
Substitute , we get,

Also, we know
and 
Substitute, we get,

Simplify , we get,

Hence, use difference identity to prove the given result.
Answer:
m∠JLN = 42°
m∠MLK = 90°
m∠KLO = 42°
m∠JLO = 138°
m∠AGE = 160°
Step-by-step explanation:
m∠JLN =
°
m∠MLK = 90°
m∠KLO = 42° (∠KLO opposite of ∠JLN, Opposite angles are congruent)
m∠JLO =
°
For the second question, things become somewhat more complex.
We know that ∠GHD =
° and ∠AGH
°.
You correctly calculated that
°.
∠AGE is equal to both
° and
°. Either equation will work just fine.
∠AGE =
°
So m∠AGE = 160°
The answer is D
Hope this helps
B and A is the correct answers