The complement of an angle measures $40^{\circ}$ less than the angle. Find the measure of the angle.
A) $35^{\circ}$
B) $155^{\circ}$
C) $65^{\circ}$
D) $140^{\circ}$

Question

Quizplus · Accepted Answer

The complement of an angle adds up to $90^{\circ}$. Let the angle be $x$, so its complement is $x - 40^{\circ}$. Setting up the equation $x + (x - 40^{\circ}) = 90^{\circ}$ and solving for $x$ gives $x = 65^{\circ}$.

The Complement of an Angle Measures 40∘40^{\circ}40∘ Less Than the Angle 35∘35^{\circ}35∘

The Complement of an Angle Measures $40^{\circ}$ Less Than the Angle $35^{\circ}$