What is the degree measure of largest angle of quadrilateral if the angle are in the ratio 2 3 3 4?

Find the largest angle of a quadrilateral if the measures of its interior angles are in the ratio 1:2:3:4

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What is the degree measure of the largest angle if the degree measures of the interior angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4?A. 90 degreesB. 100 degreesC. 144 degreesD. 150 degreesE. 172 degrees

Answer

The sum of the degree measures of all the angles of ANY quadrilateral is 360 degrees. Let's designate the degree measure of the smallest angle to be X. Therefore, since the degree

measures of the angles are in the ratio 1 : 2 : 3 : 4, and they must sum to 360, we can set up the following equation:

X + 2X + 3X + 4X = 360. The smallest angle is 36 degrees, so the largest angle is: 4 × 36 = 144 degrees.

Correct Answer: Choice C