Question

2 angles are Supplementary. One angle has a measure that is 5 times the other Angle. Type in the measure of the bigger angle.

Answer 1

Step 1: Let's recall that Supplementary angles are two angles with a sum of 180∘

Step 2: Let's write the equation to solve the problem.

• Let x to represent the smaller angle,

,

• Let 5x to represent the bigger angle

Therefore, we have:

x + 5x = 180

6x = 180

Dividing by 6 at both sides:

6x/6 = 180/6

• x = You can calculate the value of x dividing 180 by 6 and that is the measure of the smaller angle.

,

• 5x = You multiply the value of x by 5 and that's the measure of the bigger angle.

Don't forget that the sum of both angles should be 180.