Problema Solution
IN quadrilateral QRST, angle Q has a measure of n degrees. Angle R measures 10 degrees more than angle Q. The measure of anle s is 10 degrees more than that of angle R. Angle T measures 10 more than angle S. What is the measure of angle Q
Answer provided by our tutors
Angle Q has a measure of n degrees
Angle R measures 10 degrees more than angle Q that is (n + 10) degrees
The measure of angle S is 10 degrees more than that of angle R: ((n + 10) + 10) degrees
Angle T measures 10 more than angle S that is: (((n + 10) + 10) + 10) degrees
the sum of all angles in the quadrilateral QRST is 360
n + (n + 10) + ((n + 10) + 10) + (((n + 10) + 10) + 10) = 360
n + n + 10 + n + 10 + 10 + n + 10 + 10 + 10 = 360
by solving we find
n = 75 degrees
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the measure of angle Q is 75 degrees.