How do you determine the measure of the angles

Since a straight line is equal to 180, x+4x=180

The two angles are opposite each other, and therefore will equal 180 together.

5x= 180

Divide both sides by 5.

180/5= 36

x=36

Let's check our answer.

4*36= 144

144+36= 180

The smaller angle is equal to 36, and the bigger one 144.

I hope this helps!
~cupcake

It's like discovering the answer to a puzzle. the purpose in solving an equation is to find the value or values of the variable that makes it a true statement. any value of the variable that makes the equation true is called a solution to the equation.