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Mkey [24]
3 years ago
13

HELP NEEDED ASAP WILL GIVE 5 STAR RATING AND BRAINLIEST!

Mathematics
1 answer:
stealth61 [152]3 years ago
8 0

Answer:

The answer to your question is: ∠K   = 138°

Step-by-step explanation:

m∠N = 42°

m∠K = ?

The sum of all the internal angles in a quadrangle equals 360°

then

        ∠N + ∠L + ∠M + ∠K = 360°

        ∠N = ∠ L   and ∠M = ∠K

So, 2 ∠N + 2 ∠K = 360

Substitution

       2 (42) + 2 ∠K = 360

       84  + 2 ∠K = 360

       2 ∠K = 360 - 84

       2 ∠K = 276

      ∠K  = 276 / 2

     ∠K   = 138°

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<u>Part 1)</u> Find m∠EAD

we know that

m∠EAD+m∠DAF+m∠BAF=180\° ----> by supplementary angles

solve for m∠EAD

m∠EAD=180\°-(m∠DAF+m∠BAF)

in this problem we have

m∠DAF=90\°

m∠BAF=61\°

substitute in the formula above

m∠EAD=180\°-90\°-61\°=29\°

therefore

<u>the answer part 1) is </u>

m∠EAD=29\°

<u>Part 2)</u>  Find m∠CAB

we know that

m∠CAB+m∠BAF=180\° --------> by supplementary angles

solve for m∠CAB

m∠CAB=180\°-m∠BAF

in this problem we have

m∠BAF=61\°

substitute in the formula above

m∠CAB=180\°-61\°=119\°

therefore

<u>the answer part 2) is</u>

m∠CAB=119\°

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3 years ago
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Step-by-step explanation:

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