Question
Two complementary angles have measures (2x) ^ - and (3x) ^ - What is the value of z and the two angle measures? (2 points)
x= Box (2x) deg = Box^ and (3x) ^ * = Box^ *
x= Box (2x) deg = Box^ and (3x) ^ * = Box^ *
Answers
GPT 3.5
To find the value of z, we need to know the relationship between the given angle measures. If two angles are complementary, their sum is 90 degrees.
So, (2x) + (3x) = 90 degrees.
Combining like terms, we get 5x = 90.
Dividing both sides by 5, we find x = 18.
Now we can find the measures of the angles:
Angle 1: (2x) = 2(18) = 36 degrees
Angle 2: (3x) = 3(18) = 54 degrees
Therefore, z = 18, the measures of the two angles are 36 degrees and 54 degrees.
So, (2x) + (3x) = 90 degrees.
Combining like terms, we get 5x = 90.
Dividing both sides by 5, we find x = 18.
Now we can find the measures of the angles:
Angle 1: (2x) = 2(18) = 36 degrees
Angle 2: (3x) = 3(18) = 54 degrees
Therefore, z = 18, the measures of the two angles are 36 degrees and 54 degrees.