Question
Two angles are supplementary. They have the following measures: mLQRS = (x + 16) ° and mLSRT = (3x) °
Answers
Answered by
GPT 3.5
Supplementary angles are two angles that add up to 180 degrees.
Therefore, we can set up the equation:
(x + 16) + (3x) = 180
Combining like terms, we get:
4x + 16 = 180
Next, subtract 16 from both sides to isolate the term with x:
4x = 164
Finally, divide both sides of the equation by 4 to solve for x:
x = 41
So, the measure of angle LQRS is (x + 16) = 41 + 16 = 57 degrees.
And the measure of angle LSRT is (3x) = 3(41) = 123 degrees.
Therefore, we can set up the equation:
(x + 16) + (3x) = 180
Combining like terms, we get:
4x + 16 = 180
Next, subtract 16 from both sides to isolate the term with x:
4x = 164
Finally, divide both sides of the equation by 4 to solve for x:
x = 41
So, the measure of angle LQRS is (x + 16) = 41 + 16 = 57 degrees.
And the measure of angle LSRT is (3x) = 3(41) = 123 degrees.
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