Two adjacent angles are on straight line. One angle has a measures of (5x - 28) and the other angle has a measure of (8x). What is the measure of the second angle?
The sum of two adjacent angles on a straight line is always 180 degrees.
So, we have the equation:
(5x-28) + (8x) = 180
Combining like terms, we get:
13x - 28 = 180
Adding 28 to both sides:
13x = 208
Dividing both sides by 13:
x = 16
Substituting x = 16 into the second angle's measure:
8x = 8(16) = 128
Therefore, the measure of the second angle is 128 degrees.
you sure?
Apologies for the previous incorrect response. Let's solve the equation correctly:
The sum of two adjacent angles on a straight line is always 180 degrees.
So, we have the equation:
(5x-28) + (8x) = 180
Combining like terms, we get:
13x - 28 = 180
Adding 28 to both sides:
13x = 208
Dividing both sides by 13:
x = 16
Substituting x = 16 into the second angle's measure:
8x = 8(16) = 128
Therefore, the measure of the second angle is 128 degrees.
I apologize for any confusion in my previous response.
For two adjacent angles with measures x and (x + 30) that make up a 90 angle, what is x?
If two adjacent angles make up a 90-degree angle, it means they are complementary angles.
So, we have the equation:
x + (x + 30) = 90
Simplifying the equation:
2x + 30 = 90
Subtracting 30 from both sides:
2x = 60
Dividing both sides by 2:
x = 30
Therefore, x is equal to 30.
A right angle is formed by two adjacent angles with measures of (x) and (x + 30). What are the two angle measures?
If a right angle is formed by two adjacent angles, it means they are complementary angles.
So, we have the equation:
x + (x + 30) = 90
Simplifying the equation:
2x + 30 = 90
Subtracting 30 from both sides:
2x = 60
Dividing both sides by 2:
x = 30
Therefore, the two angle measures are x = 30 and (x + 30) = 60.
whats another answers other 60?
Since the two adjacent angles form a right angle, they must be complementary, meaning their sum is 90 degrees.
Let x be the measure of the first angle. The measure of the second angle is then (x + 30).
We can set up the equation:
x + (x + 30) = 90
Combining like terms, we have:
2x + 30 = 90
Subtracting 30 from both sides:
2x = 60
Dividing both sides by 2:
x = 30
Therefore, the first angle measures 30 degrees, and the second angle measures 30 + 30 = 60 degrees.
So, the other possible answer is 60 degrees. There are no other valid answers for this specific problem.