Question 978655: The angles of a quadrilateral are in the
ratio 1:2:3:4. Find the sum of the
a. 350
c. 370
b. 360
d. 390
Answer by MathLover1(20850)   (Show Source):
You can put this solution on YOUR website!
if the angles of a quadrilateral are in ratio  ,the sum of the all angles is  (by definition of the sum of all angle in a quadrilateral}
so, we can find the measure of the four angles:
Let the common ratio be  .
Then the measure of four angles is  ,  ,  , 
We know that the sum of the angles of quadrilateral is °.
Therefore,  °
⇒  °
⇒ 
⇒ 
Therefore,  °
 °
 °
 °
Hence, the measure of the four angles is  °,  °,  °, and  °.
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