Question

Write an equation for the two adjacent angles.

An illustration shows three rays from a common vertex with labeled angles. The first ray is inclined to the horizontal left of the common vertex with an arrow at the end. The second ray is inclined to the horizontal right of the common vertex with an arrow at the end. The third ray is to the top right of the common vertex with an arrow at the end. It is between the other two rays. The angle between the first and the third rays is labeled as left parenthesis 5 x minus 25 right parenthesis degrees. The angle between the second and third rays as labeled as 55 degrees.

Answer 1

[AI-generated answer — Bot GPT 3.5]

Let's label the angles:

- Angle between the first ray and the third ray: (5x - 25) degrees
- Angle between the second ray and the third ray: 55 degrees

Since the two angles are adjacent angles, they share the same vertex and a common side.
Thus, the sum of the two adjacent angles is equal to 180 degrees.

Therefore, the equation for the two adjacent angles is:

(5x - 25) + 55 = 180