Problema Solution

Angle a and b are complementary angles, each having degree-measure between 0 and 90. Tge sum of twice the degree-measure of angle a and three times the degree-measure of angle b is 180. Qhat are the measures of anfle a and b

Answer provided by our tutors

angle a and b are complementary angles, each having degree-measure between 0 and 90


a + b = 90


sum of twice the degree-measure of angle a and three times the degree-measure of angle b is 180


2a + 3b = 180


by solving the system of equations


a + b = 90

2a + 3b = 180


we find


a = 90 degrees


b = 0 degrees.