PLEASE ANSWER ASAP!
Two angles are adjacent, as shown in the diagram below

Part A: Use complete sentences to describe the relationship between the adjacent angles. Be sure to include specific terms from the lesson.

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.

x = 56°

Solution:

Part A:

Given data:

2x and 68° are adjacent angles in a straight line and their measures have sum of 180°.

Part B:

Sum of the adjacent angles in the straight line is 180°.

2x + 68° = 180°

Subtract 68° from 180°, we get

⇒ 2x = 112°

Divide by 2 on both sides, we get

⇒ x = 56°

The value of x is 56°.

Part C:

By part A and part B,

2x° + 68° = 2(56°) + 68°

               = 112° + 68°

               = 180°

2x° + 68° = 180°

Hence proved.

22

step-by-step explanation:

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