Let's say the measures of angle <1 and angle <3 are x and y degrees respectively.
According to the problem, angle <1 and angle <3 are a vertical pair, which means they are opposite each other and have equal measures.
So, we can say that: x = y
The problem also states that the sum of their measures is equal to 68°.
So, we can write the equation: x + y = 68
Since we know that x = y, we can substitute x in the equation: x + x = 68
Simplifying, we get: 2x = 68
Dividing both sides of the equation by 2, we find: x = 34
Therefore, the measure of each angle is 34°. Answer: \boxed{34}.
Two intersecting lines create four angles;
<1 and
<3 are a vertical pair. Their sum of their measures is equal to 68°. What equation solves for the value of each angle?
1 answer