To find the two angles, we need to set up an equation.
Complementary angles add up to 90 degrees. So, we have the equation:
3x + (2x - 5) = 90
Combining like terms:
5x - 5 = 90
Adding 5 to both sides:
5x = 95
Dividing both sides by 5:
x = 19
Now, we can substitute x = 19 into the expressions for the angles:
Angle 1: 3x = 3(19) = 57°
Angle 2: 2x - 5 = 2(19) - 5 = 38 - 5 = 33°
Therefore, the two angle measures of complementary angles expressed as 3x° and (2x - 5)° are 57° and 33°.
The answer is A. 33° and 57°.
What are the two angle measures of complementary angles expressed as 3x°
and (2x−5)°
?
A. 33° and 57°
B. 19°and 71°
C. 30° and 60°
D. 21°and 69°
1 answer