Answer:
a =90
b = 31
c = 121
d =59
Step-by-step explanation:
Angle a is a right angle = 90 degrees. The corner box means that it equals 90 degrees
a = 90
Angles b and 59 are complementary
The equal 90 degrees since angle a is a right angle and the three angles make a straight line
a+b+ 59 = 180 and a is 90
so b+59 = 90 (which means they are complementary)
Subtract 59 from each side
b+59-59 = 90-59
b = 31
Angle c and 59 are supplementary
They form a straight line or 180
c+59 = 180
Subtract 59 from each side
c+59-59= 180-59
c =121
Angle c and d are complementary (they form a straight line)
c+d = 180
Since c is 121
121+d = 180
Subtract 121 from each side
121-121+d =180-121
d = 59
