The measure of an angle is 78° less than the measure of its complement. what is the measure of the angle?

84°

51°

6°

12°

Its complement is 90-x=84 degrees which is 78 degrees less than the complement of 84. Step 6. ANSWER: The angle is 6 degrees and its complement is 84 degrees.

Step-by-step explanation:

The measure of the angle is 6°

A complementary angle consists of two angles who's sum is 90 degrees. Since there are two we know this for sure:

1st angle: x (unknown value)

2nd angle: x-78 (78 less then its complement)

total: 90

If we put the equation together we get:  x+x-78= 90

x+x-78+78=90+78

2x=168

2x/2=168/2

x=84

Now we know that x = 84, know we gonna find the 2nd angle:

1st: x=84

2nd: 84-78 = 6

total: 84+6=90

step-by-step explanation:

i have done this all on a piece of paper but idk how to put it on here cuz it needs to be drawn