∠D and ∠E are complementary. If m∠D=5x+3 and ∡E=3x−1, what is ∡D?

Question

I really need help because i do not understand it. This is my home work.

Answer 1

Ok, so complementary angles means angles that add up to 90°.

Therefore, m∠D + m∠E = 90º

Substitute the values for the two angles in:

(5x+ 3) + (3x - 1) = 90º

Use this equation to solve for x.

Once you've solved for x, plug the value you got for x back into 5x + 3 to get m∠D