The measure of two complementary angles are 6y+3 and 4y-13. Find the measures of the angles.
( In this question, are they saying 2 different complementary angle? or two angle that make up a complementary? )
10
In this question, it is referring to two different angles that are complementary to each other. Complementary angles are two angles that add up to 90 degrees.
In this question, we are given the measures of two complementary angles. Complementary angles are angles that add up to 90 degrees. So, we can set up an equation to find the measures of the angles.
Let's assume that the first angle is 6y + 3 and the second angle is 4y - 13. To find the measures of the angles, we need to find the value of y.
Since the angles are complementary, we can write the equation:
(6y + 3) + (4y - 13) = 90.
Now, we can solve this equation to find the value of y.
Combine like terms:
10y - 10 = 90.
Add 10 to both sides:
10y = 100.
Divide both sides by 10:
y = 10.
Now that we have the value of y, we can substitute it back into the expressions for the angles.
First angle = 6y + 3 = 6(10) + 3 = 63 degrees.
Second angle = 4y - 13 = 4(10) - 13 = 27 degrees.
Therefore, the measures of the angles are 63 degrees and 27 degrees.
complementary angles add to 90 degrees
6y+3+4y-13=90
10y=100
solve for y, then go back and find each angle.