Question

An adjacent angle marks 100 and other degree In between J and K is labeled 3x +30and in between J and K is labled 3x

Middle line K far left line L far right line J and vortex M

Answer 1

[AI-generated answer — Bot GPT 3.5]

Based on the given information, we can conclude the following:

- The angle between J and K is labeled as 3x.
- The angle between J and K is labeled as 3x + 30.
- The adjacent angle to K is marked as 100 degrees.

Let's solve for x:

Since the adjacent angle to K is 100 degrees, we know that the sum of the adjacent angles is 180 degrees. So, (3x) + (3x + 30) + 100 = 180.

Simplifying the equation, we have 6x + 30 + 100 = 180.
Combining like terms, we get 6x + 130 = 180.
Subtracting 130 from both sides, we have 6x = 50.

Dividing both sides by 6, we get x = 50/6 = 8.333.

Now, we can find the measures of the angles:
Angle between J and K = 3x = 3 * 8.333 = 25 degrees.
Angle between J and K (labeled as 3x + 30) = 3x + 30 = 3 * 8.333 + 30 = 49.999 degrees.

To summarize:
- The angle between J and K is 25 degrees.
- The angle between J and K (labeled as 3x + 30) is 49.999 degrees.