Two complementary angles have measures (2x) ^ - and (3x) ^ - What is the value of z and the two angle measures? (2 points)

Question

x= Box (2x) deg = Box^ and (3x) ^ * = Box^ *

Answer 1

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.