Two supplementary angles are in the ratio 1:4. What are the measures of the two angles?
• We can say that the ratio is the result when you divide a common number, let's say x, to the actual measures of the angles.
• Let's multiply x to the sum of 1 and 4 and equate the answer to 180° since they are supplementary angles.
• Let's now substitute the value of x to the equation.
• Thus, the measure of the two angles are 36° and 144°.
The measure of the two angles are 36° and 144°. Therefore, the answer is Letter A.
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PROBLEM:
Two supplementary angles are in the ratio 1:4. What are the measures of the two angles?
SOLUTION:
• We can say that the ratio is the result when you divide a common number, let's say x, to the actual measures of the angles.
• Let's multiply x to the sum of 1 and 4 and equate the answer to 180° since they are supplementary angles.
• Let's now substitute the value of x to the equation.
• Thus, the measure of the two angles are 36° and 144°.
ANSWER:
The measure of the two angles are 36° and 144°. Therefore, the answer is Letter A.