Dfg and jkl are complementary angles. m dfg = x+5 and m jkl=x-9. the measure of dfg is and the measure of jkl is 47, 43 47, 53 52, 38 52, 48

C

Step-by-step explanation:

the sum of complementary angles = 90°, hence

x + 5 + x - 9 = 90

2x - 4 = 90 ( add 4 to both sides )

2x = 94 ( divide both sides by 2 )

x = 47

Thus ∠DFG = 47 + 5 = 52° and ∠JKL = 47 - 9 = 38°

Step-by-step explanation:

Givens

We know that

, by definition of complementary angles.

But, and , by given.

Then, we replace

Then, we replace this value to find each angle.

And, , which proves their complementary relation.

Therefore, the angles are 52° and 38°

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