If 9x and(5x+8) are the measures for complementary angles, what are the measures of each angle
9x + (5x + 8) = 14 x + 8 =90
14 x = 82
x = 41/7
9x = 52 5/7 degrees
5x + 8 = 37 2/7 degrees
To find the measures of the complementary angles given that 9x and (5x+8) are the measures, we can use the fact that complementary angles add up to 90 degrees.
So we have the equation:
9x + (5x+8) = 90
To solve for x, let's combine like terms:
14x + 8 = 90
Subtract 8 from both sides:
14x = 82
Divide both sides by 14:
x = 82/14
Simplifying, we get:
x = 41/7
Now that we have the value of x, we can substitute it back into the original expressions to find the measures of each angle.
To find the measure of the first angle (9x):
9(41/7) = 369/7
To find the measure of the second angle ((5x+8)):
5(41/7) + 8 = 205/7 + 8 = (205 + 56) / 7 = 261/7
Therefore, the measures of the angles are approximately 52.71 degrees (369/7) and 37.29 degrees (261/7).