50 POINTS! EXPLAIN YOUR WORK! TRY! Thx

Find the missing measurements:
DE=_
EF=_
Angle D=_

DE = 44.88     EF = 46.46      Angle D = 84 degrees

Step-by-step explanation:

To find the measure of DE, find the tan of 61 degrees

tan 61 =  x/12

3.74 = x/12       Multiply both sides by 12

x = 44.88 for the measure of DE

To find EF, use Pythagorean Theorem

12^2 + 44.88^2 = C^2      Simplify

144 + 2014.21 = C^2         Add

2158.21 = C^2                   Take the square root of both sides

C = 46.46 for the measure of EF

To find angle D, add 61 and 35 and subtract that from 180

61 + 35 + x = 180       Add

96 + x = 180

-96         -96              Subtract 96 from both sides

x = 84 degrees

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