Question

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

of each angle?​

Answer 1

Angle ADF is equal to 52° and angle FDC is equal to 38°.

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=(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°.