A quadrilateral has interior angles with degree measures of 63, 4s, 5s and 2s. What is the angle measure, in degrees, of the largest angle of the quadrilateral?

Answer 1

Note that the sum of interior angles of a quadrilateral is equal to 360 degrees. Therefore,
63 + 4s + 5s + 2s = 360
We then find the value of s:
4s + 5s + 2s = 360 - 63
11s = 297
s = 27
Finally, we solve for the remaining angles,
4s = 4*27 = 108 degrees
5s = 5*27 = 135 degrees
2s = 2*27 = 54 degrees

Therefore, the largest angle measures 135 degrees.

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