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
Algebra.Com
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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