Angles 1 and 2 are complementary. The measure of Angle 1 is 5 degrees more than 4 times the measure of Angle 2. What is the measure of Angle 1?

Answer 1

angle1+ angle2 = 90 degrees

angle1 = 5+4angle2 =5+4(90-angle1) = 5+360-4angle1

5angle1 =365

angle1 = 365/5 = 73 degrees

angle2 = 90-73 = 17 degrees

73=5+4(17) = 5+68=73