Answer :
Answer:
The measure of the angle is 150°, the measure of its supplementary is 30°
Step-by-step explanation:
The given parameters are;
The measure of the given angle = 5 × The measure of its supplementary angle
Let "x" represent the given angle, and let "y" represent its supplementary angle, we have;
x = 5 × y...(1)
x + y = 180°...(2)
By substituting the value of x = 5 × y, from the first equation into the second equation, we have;
x + y = 180°
x + y = 5 × y + y = 5·y + y = 6·y = 180°
y = 180°/6 = 30°
y = 30°
x = 5 × y = 5 × 30° = 150°
x = 150°
The measure of the angle = x = 150°, the measure of its supplementary = y = 30°.
The measure of the angle is 162 degrees and the measure of its supplementary angle is 18 degrees.
Let x be the measure of the angle and y be the measure of its supplementary angle. We know that the sum of the measures of supplementary angles is 180 degrees. So, we can write the following equation:
x + y = 180
We also know that the measure of the angle is nine times the measure of its supplementary angle. So, we can write the following equation:
x = 9y
Now we have two independent equations, and we can solve for our two unknowns. One way to solve for x is to substitute the second equation into the first equation. This gives us:
(9y) + y = 180
Combining like terms, we get:
10y = 180
Dividing both sides by 10, we get:
y = 18
Now that we know the measure of the supplementary angle, we can substitute it into the second equation to solve for the measure of the angle. This gives us:
x = 9(18)
x = 162
Therefore, the measure of the angle is 162 degrees and the measure of its supplementary angle is 18 degrees.
For such more question on supplementary:
https://brainly.com/question/12919120
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