the angles of a certain quadrilateral are in the ratio 2:3:4:6. calculate the size of the largest angle
Question
the angles of a certain quadrilateral are in the ratio 2:3:4:6. calculate the size of the largest angle
Solution
Sure, here are the steps to solve the problem:
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First, understand that the sum of all angles in any quadrilateral is 360 degrees.
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The problem states that the angles of the quadrilateral are in the ratio 2:3:4:6. Add these ratios together to get a total. 2 + 3 + 4 + 6 = 15.
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To find the size of each angle, you would divide the total degrees of a quadrilateral (360 degrees) by the total of the ratios (15). So, 360/15 = 24 degrees. This means that each "part" of the ratio is equal to 24 degrees.
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The largest angle is represented by the ratio 6. So, to find the size of the largest angle, multiply this ratio by the size of each part. So, 6 * 24 = 144 degrees.
So, the size of the largest angle in the quadrilateral is 144 degrees.
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