Question

find the degree measure of an angle which is one by two of its complement​

Answer 1

Step-by-step explanation:

The complementary angle is x

Complementary angles sum to a right angle (90 degrees).

x + (2/3)x = 90

(3/3)x + (2/3)x = 90

(5/3)x = 90

x = 90(3/5)

x = 54 degrees

The angle is 2/3 of this

The angle is (2/3)54 = 36 degrees

Hope this helps and does not mislead or confuse you.

OR

Two angles are complementary if their sum is equal to 90 degrees.

Let x be the angle, then its complementary angle is 90-x . We are told that the angle is half of itz complement, so

x= 1/2( 90 - x)

2x=90-x move x to left side

3x=90 divide by 3

x=30

The angle is 30 degrees.