Find angles (supplementary angles)

Question

(2x+3) and (x-6)

Answer 1

Supplementary angles equal 180 degrees when you add them together.

Step 1: Create the equation by adding the two angles together and set it equal to 180

(2x+3) + (x-6) = 180

Step 2: reorder the equation to make it easier to combine like term

2x + x + 3 + - 6 = 180

Step 3: Combine like terms

3x - 3 = 180

Step 4: Isolate the variable

3x - 3 = 180

+ 3 + 3

3x = 183

3 3

x = 61

Step 5: Substitute x into the original expressions to find the angles

2x+3

2(61) + 3

122 + 3

125

x-6

61 - 6

55

Step 6: Check

125 + 55 = 180

180 = 180

Answer 2

(2x+3)+(x-6)=3x-3

3x-3=180, x=61

2x+3=122+3=125

x-6=61-6=55