Answer:
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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