Question

Part B: Set up an equation and solve for x. In your answer, include the equation, your calculations and the value of x.

Part C: Use your equation from Part A and the value of x from Part B to prove your equation to be true for the adjacent angles in the diagram.

Answer 1

The adjacent angles in the diagram are 112° and 68°.

Step-by-step explanation:

The measure of angle in a straight line is 180°.

Therefore, the sum of the two angles is equal to 180°.

⇒ 2x + 68 = 180

The equation formed to solve for x value is 2x+68 = 180

⇒ 2x = 180 - 68

⇒ 2x = 112

⇒ x = 112/2

⇒ x = 56

∴ The adjacent angles in the diagram are 2x=2(56)= 112° and 68°