SOLUTION: 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

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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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