If the measure of an angle is 78 less than the measure of its compliment, what is the measure of the angle?

Answer:Measure of the angle is 6°Step-by-step explanation:let x be the measure of compliment.The angle = 90 - xWe know that sum of an angle and its compliment is equal to 90°.So, According to the Question90 - x = x - 7890 + 78 = x + x   (transpose 78 to LHS and x to RHS )x + x = 90 + 78   2x = 168x = 84So, Angle = 90 - x = 90- 84 = 6Therefore, Measure of the angle is 6°

Complementary angles add up to 90'So let X= angle 1         Y=angle 2So x+y=90let x=y-78so(y-78)+y=90y-78+y=902y-78=902y=90+782y=168y=168/2y=84x=y-78so x=84-78x=6And 6+84=90So the measure of the angle is 6 degrees.Hope i helped!