Question

Write an equation that you can use to solve for x. Enter your answer in the box. Two lines intersect at a point, forming two adjacent angles. One adjacent angle is labeled x degrees and the other adjacent angle is labeled 47 degrees.

Answer 1

The equation would be x+47=180.

The adjacent angles formed by these two adjacent angles are supplementary; that means that they sum to 180°.

We would solve this by subtracting both sides by 47:
x+47-47=180-47
x=133

Answer 2

Answer: The value of x is 133°.

Explanation:

Since we have given that

Two lines intersect at a point forming two adjacent angles.

Measure of one adjacent angle is labeled as = x degrees

Measure of other adjacent angle is labeled as = 47 °

We need to find the value of x in degrees.

As shown in the figure:

Since they are adjacent angles.

So, we can write it as

`x+47^\circ=180^\circ\\\\x=180^\circ-47^\circ\\\\x=133^\circ`

Hence, the value of x is 133°.