smc

Question

The angles of quadrilateral ABCD satisfy A=2 B=3 C=4 D. What is the degree measure of A, rounded to the nearest whole number?

Accepted Answer

The sum of the interior angles of any quadrilateral is 360^. align* 360 &= A + B + C + D &= A + 12A + 13A + 14A &= 1212A + 612A + 412A + 312A &= 2512A align* A = 360 1225 = 172.8 173