Question

12). Two supplementary angles are such that two times the measure of one is equal to four times the measure
of the other. Find out the measures of the two angles.
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Answer 1

Step-by-step explanation:

Two angles are supplementary and one is 30 degrees more than 4 times the other. What is the measure of the angles?

Supplementary means that the two angle will have a sum of 180⁰.

Let the first angle = x⁰.

The second angle is described as 30⁰ more than four times the other, so it will be 4x⁰ + 30⁰.

x⁰ + 4x⁰ + 30⁰ = 180⁰ : Combine like terms

5x⁰ + 30⁰ = 180⁰ : Subtract 30⁰ from both sides

5x⁰ = 150⁰ : Divide both sides by 5

x = 30⁰

This makes the other angle 4•30⁰ + 30⁰, or 150⁰.

And 30⁰ + 150⁰ = 180⁰.