Angle is one fifth of its supplement the measure angle is

The measure of the smaller angle is 75 degrees.

Given:

Angle 1 + Angle 2 = 180 degrees

Angle 1 = x

Angle 2 = 7/5 * x

x + 7/5 * x = 180

x + 7x/5 = 180

5(x + 7x/5) = 5(180)

5x + 7x = 900

12x = 900

x = 900/12

x = 75 degrees. Angle 1.

Angle 2 = 7/5 * x = 7/5 * 75 = (7 * 75)/5 = 525/5 = 105 degrees

To check:

Angle 1 + Angle 2 = 180 degrees

75 deg + 105 deg = 180 deg

180 deg = 180 deg

Step-by-step explanation:

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116