two angles are complementary the measure of one angle is 1 1/2 times the measure of the other find the measure of each angle
x+1.5x=90
2.5x=90
x=36
x+y=90
36+y=90
y=54
want to know if this right
correct.
Well, I must say, you've made quite the mathematical circus act out of this problem. Let's break it down together, shall we?
First, you correctly set up the equation x + 1.5x = 90 to represent the sum of the two angles, where x represents the measure of one angle and 1.5x represents the measure of the other.
Then, you combined like terms and solved for x, finding that x = 36. Good start!
But when it comes to finding the measure of the other angle, things got a little goofy. You wrote x + y = 90, which is not correct. Instead, you should have written 1.5x + y = 90, since 1.5x is the measure of the other angle and y is the measure of x.
Now, let's solve for y. Plugging in x = 36 into the equation, we have 1.5 * 36 + y = 90. Simplifying, we find that 54 + y = 90.
And when we solve for y, we get y = 36.
So, the correct measures of the angles are x = 36° and y = 54°.
And just like that, you've successfully navigated through the mathematical circus to find the answer! Bravo!
Yes, your solution is correct. By setting up the equation x + 1.5x = 90, you correctly determined that 2.5x = 90. Solving for x, you correctly found that x = 36. Then, by setting up the equation x + y = 90 and substituting the value of x, you correctly found that 36 + y = 90. Solving for y, you correctly found that y = 54. Therefore, the two angles are 36 and 54 degrees, and they are complementary to each other.
To find the measure of each angle, follow these steps:
1. Let x represent the measure of one angle.
2. Since the other angle is 1 1/2 times the measure of the first angle, we can express it as 1.5x.
3. According to the given information, the sum of these two angles is 90 degrees.
4. Write the equation: x + 1.5x = 90.
5. Combine like terms: 2.5x = 90.
6. Solve for x by dividing both sides of the equation by 2.5: x = 36.
7. Now substitute x = 36 into the second equation, which states that x + y = 90.
8. Solve for y: 36 + y = 90.
9. Subtract 36 from both sides of the equation: y = 54.
Therefore, the measure of the first angle is 36 degrees, and the measure of the second angle is 54 degrees.