the measures of two complementary angles are 4x +6 and 5x +3 find x
A:16
B:14
C:11
D:9
Since the angles are complementary, their sum must equal 90 degrees.
Therefore, we have the equation:
4x + 6 + 5x + 3 = 90
Combining like terms, we get:
9x + 9 = 90
Subtracting 9 from both sides, we have:
9x = 81
Dividing both sides by 9, we get:
x = 9
So, the value of x is 9.
Therefore, the answer is D: 9.
To find the value of x, we need to set up an equation using the given information about the two complementary angles.
Complementary angles add up to 90 degrees.
Therefore, we can write the equation:
(4x + 6) + (5x + 3) = 90
Now, let's solve this equation:
Combining like terms:
9x + 9 = 90
Subtracting 9 from both sides:
9x = 81
Dividing both sides by 9:
x = 9
Therefore, the value of x is 9.
So, the correct answer is option D: 9.
To find the value of x, we need to set up an equation using the given information.
We know that two angles are complementary, which means they add up to 90 degrees. So, we can set up the equation:
(4x + 6) + (5x + 3) = 90
Now we will solve this equation:
Combine like terms:
9x + 9 = 90
Subtract 9 from both sides:
9x = 81
Divide both sides by 9:
x = 9
Therefore, the value of x is 9.
So, the correct answer is option D: 9.