What is the degree measure of largest angle of quadrilateral if the anglesare in the ratio 2 : 3: 3 : 4 ?(a) 600 (b) 1200 (c) 1500 (d) 900
Question
What is the degree measure of largest angle of quadrilateral if the angles are in the ratio 2 : 3 : 3 : 4 ?
(a) 60°
(b) 120°
(c) 150°
(d) 90°
Solution
The sum of all angles in any quadrilateral is 360 degrees.
Given the ratio of the angles is 2:3:3:4, we can find the sum of the ratios which is 2+3+3+4 = 12.
To find the degree measure of the largest angle (which has the ratio 4), we divide the total degrees in a quadrilateral by the sum of the ratio and then multiply by the ratio of the largest angle.
So, (360/12) * 4 = 120 degrees.
Therefore, the degree measure of the largest angle of the quadrilateral is 120 degrees. So, the answer is (b) 1200.
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