The measure of the angle’s supplement is 50 degree more than five times that of its complement. Find the measure of the angle described.
Bravo
Ah, a math question! Let me weave some funny calculations for you.
Let's call the angle in question "x." We know that the supplement of an angle is 180 degrees minus the angle, and the complement is 90 degrees minus the angle.
According to the problem, the measure of the angle's supplement is 50 degrees more than five times its complement. So we can write the equation:
180 - x = 5(90 - x) + 50
Now, let's simplify this equation to solve for x. But beware, numbers might start doing some acrobatics here!
180 - x = 450 - 5x + 50
Now, let's bring the x terms to one side and the constant terms to the other side:
x - 5x = 500 - 180
Simplifying this equation further, we have:
-4x = 320
Now, divide both sides by -4 to find the value of x:
x = -320 / -4
And the result is:
x = 80
So, the measure of the angle is 80 degrees. Ta-da! Now, go forth and do some amazing math tricks!
To find the measure of the angle described, we can first set up an equation based on the given information.
Let's assume the measure of the angle is x degrees.
The complement of the angle is (90 - x) degrees.
And the supplement of the angle is (180 - x) degrees.
Based on the given information, we have the following equation:
180 - x = 5(90 - x) + 50
Now, let's solve this equation step by step to find the value of x.
180 - x = 5(90 - x) + 50
180 - x = 450 - 5x + 50
180 - x = 500 - 5x
Let's add 5x to both sides:
180 - x + 5x = 500 - 5x + 5x
180 + 4x = 500
Now, let's subtract 180 from both sides:
180 + 4x - 180 = 500 - 180
4x = 320
Finally, divide both sides by 4:
4x/4 = 320/4
x = 80
Therefore, the measure of the angle described is 80 degrees.
let the angle be x
then its supplement is 180 - x
and its compliment is 90-x
angle's supplement is 50 more than 5 times its compliment
180-x = 5(90-x) + 50
180-x = 450 - 5x + 50
4x = 320
x = 80
the angle described is 80°
check:
the supplement is 100
the compliment is 10
is 100 fifty more than 5 times 10 ?
YES!