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

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

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