If the angles of a quadrilateral are (3y + 10)°, (2y + 30)°, (y + 20)° and 4y°. Find the value of y.

Assessment: JAMB UTME - Mathematics - 2013 Subject: General Mathematics

Question 1 Report

If the angles of a quadrilateral are (3y + 10)°, (2y + 30)°, (y + 20)° and 4y°. Find the value of y.
Answer Details
In any quadrilateral, the sum of its interior angles is always 360 degrees. Therefore, we can write an equation using the given angles as follows: (3y + 10)° + (2y + 30)° + (y + 20)° + 4y° = 360° Simplifying the equation: 10y + 60 = 360 10y = 300 y = 30 Hence, the value of y is 30. Therefore, option C, "30°", is the correct answer.

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