Question

(a) An angle measures 50°. What is the measure of its complement?(b) An angle measures 70°. What is the measure of its supplement?measure of the complement:

Answer 1

a) 40 degrees

b) 110 degrees

Explanations:

a) The sum of two complementary angles is 90 degrees. If one of the angles is 50 degrees. The sum of its complement "x" is expressed as:

`\begin{gathered} x+50=90 \\ x=90-50 \\ x=40^0 \end{gathered}`

Hence the measure of the complement of the angle is 40 degrees

b) The sum of two complementary angles is 180 degrees. Let "y" be the supplement of the given angle 70°. Hence;

`\begin{gathered} y+70=180 \\ y=180-70 \\ y=110^0 \end{gathered}`

Hence the measure of its supplement is 110 degrees.