What are the two angle measures of complementary angles expressed as 3x° and (2x−5)°?
A. 21° and 69°
B. 33° and 57°
C. 30° and 60°
D. 19° and 71°
its 33 and 57
To find the complementary angles, we need to set up an equation where the sum of the angles is equal to 90°.
Let's solve for x:
3x + (2x - 5) = 90
5x - 5 = 90
5x = 95
x = 19
Now, we can find the value of the two angles:
3x = 3 * 19 = 57°
2x - 5 = 2 * 19 - 5 = 33°
Therefore, the two angle measures are 57° and 33°.
Hence, the correct answer is option B - 33° and 57°.
To find the two angle measures of complementary angles, we need to find the values of x that satisfy the given expressions.
According to the question, the two angles are complementary, which means the sum of their measures must be 90°.
So, we can set up the equation 3x + (2x - 5) = 90 and solve for x.
Combining like terms, we get 5x - 5 = 90. Adding 5 to both sides, we have 5x = 95. Dividing both sides by 5, we obtain x = 19.
Now that we know the value of x, we can substitute it back into the given expressions to find the measures of the angles.
For the first angle, 3x°, we substitute x = 19, giving us 3(19) = 57°.
For the second angle, (2x - 5)°, we substitute x = 19, resulting in 2(19) - 5 = 38 - 5 = 33°.
So, the two angle measures are 57° and 33°.
Comparing these options with the answer choices, we can see that the correct answer is option D.