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.

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq

8+10

step-by-step explanation:

you multiply 4 by 2 and 5 by 2