The compliment of an angle is 40 degree more than four times itself. find supplementary angle

Answer 1

Given, the complement of the angle is 40 degree more than 4 times itself. Yo can find the angle.

Assume the angle measures x degree.

Complement of the angle is 90-x.

And this is 40 more than 4 times the angle i.e. 40+4x

So you have 90-x = 40 + 4x

Add x on both sides

90 = 40 +5x

0r 50 = 5x or x = 10.

The angle measures 10 degrees.

So the supplementary angle = 180-x = 170 degree

Answer 2

When two angles add to 90°, we say they "Complement" each other.

Angle₁= x

Compliment of x is 90 - x

x + 40 = 90 - x. ------->. 2x = 50, therefore x = 25