Question

Please Please Help Me In These Math Questions!!!!’

Answer 1

m∠JLN = 42°

m∠MLK = 90°

m∠KLO = 42°

m∠JLO = 138°

m∠AGE = 160°

Explanation:

m∠JLN =
`90-48=42`°

m∠MLK = 90°

m∠KLO = 42° (∠KLO opposite of ∠JLN, Opposite angles are congruent)

m∠JLO =
`180-42=138`°

For the second question, things become somewhat more complex.

We know that ∠GHD =
`2x`° and ∠AGH
`(x+15)`°.

You correctly calculated that
`x=15`°.

∠AGE is equal to both
`180-(x+15)`° and
`180-2x`°. Either equation will work just fine.

∠AGE =
`180 - (15 + 15) = 180 - 30 = 160`°

So m∠AGE = 160°