What are the two angle measures of complementary angles expressed as 3x° and (2x−5)° ?(1 point)
The two angle measures of complementary angles are expressed as 3x° and (2x-5)°.
To find the complementary angles, we can set the sum of the angle measures equal to 90°:
3x + (2x-5) = 90
Combine like terms:
5x - 5 = 90
Add 5 to both sides:
5x = 95
Divide both sides by 5:
x = 19
So, the measure of the first angle is:
3x° = 3(19)° = 57°
And the measure of the second angle is:
(2x-5)° = 2(19)-5° = 33°
Two angles are complementary. One angle has a measure of 40° and the other has a measure of (8x+2)° . What is the value of x ?(1 point)
Since the angles are complementary, the sum of their measures is 90°. We can set up the following equation:
40 + (8x + 2) = 90
Combine like terms:
8x + 42 = 90
Subtract 42 from both sides:
8x = 48
Divide both sides by 8:
x = 6
So, the value of x is 6.