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