The difference of two supplementary angles is 8 degrees. Find the measures of the angles.

86° and 94°

Step-by-step explanation:

The difference of two supplementary angles is 8 degrees.

Supplementary angles are those angle whose is 180°

Let supplementary angles are x and y, x>y

Sum of x and y is 180°

∴ x + y = 180°

Difference of two supplementary angles is 8 °

∴ x - y = 8°

Simplify two equation and solve for x and y

Add both equation and eliminate y

2x = 188

x = 94°

Put x = 94 into x + y = 180

94 + y = 180

y = 180 - 94

y = 86°

Hence, The measure of supplementary angles are 86° and 94°

Set up the equation as x + (x+8) = 180 with x representing the two supplementary angles.

Add like terms: 2x+8=180

Get the 8 on the other side: 2x=172

Divide: x=86

Plug 86 back into first equation: 86 + (86+8) = 180

86+94=180. The two angles are 86 and 94 degrees.