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erik [133]
2 years ago
7

< ADF measures 2x degrees and < FDC measures x + 12 degrees. What is the measure

Mathematics
1 answer:
gtnhenbr [62]2 years ago
7 0

Answer:

<h2>Angle ADF is equal to 52° and angle FDC is equal to 38°.</h2>

Step-by-step explanation:

In the image attaches, you can observe that angles ADF and FDC are complementary angles, because they sum 90°.

\angle ADF + \angle FDC = 90\°

And we know that

\angle ADF=2x\\\angle FDC = x+12

Replacing these expressions, we have

2x+x+12=90\°\\3x=90\° - 12\°\\x=\frac{78}{3}\\ x=26

Then, we replace this value in each expression to find both angles measures.

\angle ADF= 2(26)=52\°\\\angle FDC = 26+12=38\°

Therefore, angle ADF is equal to 52° and angle FDC is equal to 38°.

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