Question

The sum of complement and supplement is 150• find the measure of the angles

Answer 1

ok so supplement is 180-x and complement is 90-x adding them we get 180-x+90-x =150

270-2x=150

270-150=2x

80=2x

x=40

Answer 2

Answer:

Angle is 60 degrees

Compliment is 30 degrees

Supplement is 120 degrees

Step-by-step explanation:

we have,

Angle = x

Compliment of the angle = 90-x

Supplement of the angle = 180-x

Sum of the compliment and the Supplement  = (90-x)+(180-x) = 150

                                                                            = 90-x+180-x = 150

                                                                            = 270-2x = 150

                                                                            = -2x = 150-270

                                                                            = -2x = -120

                                                                            = -x = -120/2

                                                                            = x = 60

Therefore, the measure of the angle is 60 degrees.

Compliment of the angle = 90-x = 30

Supplement of the angle = 180-x = 120

Hope you found your answer!!!