SOLUTION: Please help me prove the following proof: Given: Quadrilateral ABCD Prove: Measure of angle A + measure of angle B + measure of angle C + measure of angle D = 360 degrees There

Question 1129844: Please help me prove the following proof:
Given: Quadrilateral ABCD
Prove: Measure of angle A + measure of angle B + measure of angle C + measure of angle D = 360 degrees
There's a diagram that goes with it but i don't know how to show that
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

One way to do this is to split the quadrilateral into two pieces as shown below

Recall that the sum of the three angles of any triangle is always 180 degrees.
For each triangle, we can say
A+B+C = 180
D+E+F = 180
If we add up the two sides of the equations above, then we get
(A+B+C)+(D+E+F) = 180+180
(A+D)+B+(C+F)+E = 360
Which shows that the four angles add up to 360 regardless of what kind of quadrilateral we're working with

RELATED QUESTIONS
Write a paragraph proof. Given: measure of angle GFI = measure of angle HFJ Prove:... (answered by Mathtut)

Can you please help me with this proof? Thanks. Prove: If both pairs of opposite... (answered by solver91311)

NEED HELP WITH PROOF: A PROOF HAS THE FOLLOWING STEPS: 1. 2. 3. MEASURE OF ANGLE... (answered by mathslover)

given: measure of angle A = 30 and measure of angle B = 2nd measure of angle A. prove:... (answered by ReadingBoosters)

Given:angle a is the complement of angle b,measure of angle b=46. Prove: measure of... (answered by stanbon)

Can you please help me! Prove: If both pairs of opposite angles of a quadrilateral are (answered by solver91311)

Given: measure of angle 1 = measure of angle 2 Prove: ray EG bisects angle DEF (answered by richard1234)

Angle AOC is a right angle Prove measure of angle 1 + measure of angle 2 =... (answered by ikleyn)

please help me slove this proof problem ---> "Prove that the exterior vertex angel is... (answered by venugopalramana)