.An angle is 10° more than the measure of its complement. Find the number of degrees in each angle.The angles measure _ degrees.
x + x+10 = 90
just solve for x
x+x+10=90
2x+10=90
2x=90-10=80
x=80/2=40
x=40
Next:-complement is 40 and angel is 40+10=50
44-22=22
To find the measure of the angles, we need to understand two types of angles - complementary and supplementary angles.
Complementary angles are two angles that add up to 90 degrees. In this case, since one angle is 10° more than its complement, we can represent the angles as follows:
Let x be the measure of one angle.
Then the measure of its complement would be (90 - x) degrees.
According to the given information, the angle is 10° more than its complement. So we can write the equation:
x = (90 - x) + 10.
Now, let's solve this equation to find the value of x:
x = 90 - x + 10
2x = 90 + 10
2x = 100
x = 100 / 2
x = 50
Therefore, one angle measures 50 degrees and its complement measures (90 - 50) = 40 degrees.
So, the angles measure 50 degrees and 40 degrees, respectively.