Complimentary angles add up to 90º
So translate the English into Math.
if you let the unknown angle be x
then "the measure of the compliment of the angle" -----> 90-x
"10 degrees less than three times the measure of the angle" ----> 3x - 10
so....... 90-x = 3x - 10
solve that
The measure of the complement of an angle is 10 degrees less than three times the measure of the angle. Find the measure of the angle and its complement.
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ulu ka patha
ham to 10 jamatain parahay thay yeh to kia hi nai tha
for kind information algrbra nai hota algebra hota hai
To solve the equation 90 - x = 3x - 10, you can follow these steps:
1. Start by simplifying the equation. Combine like terms:
90 - x = 3x - 10
2. To isolate the variable x, you want to get all the x terms on one side of the equation. You can do this by subtracting 3x from both sides of the equation:
90 - x - 3x = -10
Simplify the equation further:
90 - 4x = -10
3. Next, get all the constant terms on the other side of the equation by adding 10 to both sides:
90 - 4x + 10 = -10 + 10
Simplify the equation further:
100 - 4x = 0
4. Now, isolate the variable x. You can do this by subtracting 100 from both sides:
100 - 4x - 100 = 0 - 100
Simplify the equation further:
-4x = -100
5. To solve for x, divide both sides of the equation by -4:
-4x / -4 = -100 / -4
Simplify the equation further:
x = 25
Therefore, the measure of the angle is 25 degrees.
To find the measure of its complement, substitute x = 25 into the expression 90 - x:
90 - (25) = 65
Therefore, the measure of the complement of the angle is 65 degrees.