The measure of each angle are m∠ABC = 40.4 and m∠DEF = 49.6
How to determine the measure of each angle?
The given parameters are
m∠ABC = (2x+4)∘ and m∠DEF = (3x−5)∘,
Complementary angles add up to 90 degrees
So, we have
2x + 4 + 3x - 5 = 90
Evaluate the like terms
5x = 91
Divide by 5
x = 18.2
Substitute x = 18.2 in m∠ABC = (2x+4)∘ and m∠DEF = (3x−5)∘,
m∠ABC = (2 x 18.2 + 4) = 40.4
m∠DEF = (3 x 18.2 − 5)∘ = 49.6
Hence, the measure of each angle are m∠ABC = 40.4 and m∠DEF = 49.6
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