Question

Two lines intersect and two of the vertical.angles measure 37 what is the measure of the other two vertical angles

Answer 1

Lets start of with what we know.
• There are two 27 degree angles 27 + 27 = 52 is the sum of the angles.
•There are 360 degrees all around the intersection

So, we can find out the sum of the 2 angles that are unknown by subtracting.
360-52=308

So, if the sum of the unknown 2 angles are 308, we can divide by 2 to find the measure of the unknown angles.
308/2=154

Answer 2

When line intersect the two vertical angle adds up to 180 degrees
To find the other vertical angle:

180 -37=143 degrees

So for two vertical angles
we take (180*2)-(37*2)=286 degrees