Question

Two intersecting lines create four angles <1 and 3 are vertical pair. Their sum is equal to 68 degrees. What equation solves for the value of each angle

Answer 1

Let's call the other two angles <2 and <4. Since angles 1 and 3 are vertical pairs, they are congruent, meaning they have the same measure.

We know that the sum of all four angles is 360 degrees (the total measure of a circle). We also know that the sum of angles 1 and 3 is 68 degrees.

So, we can set up an equation:

1 + 2 + 3 + 4 = 360

Since angles 1 and 3 are congruent, we can substitute 1 angle for both:

2(1) + 2 + 68 + 4 = 360

Simplifying:

2 + 2 + 68 + 4 = 360

76 = 360

Now we can solve for the other two angles:

2 + 4 = 360 - 76

2 + 4 = 284

Each of the other two angles has a measure of 142 degrees.

Answer 2

How are you gonna be the future of humanity and cant answer a simple math question.