Question

Please help!

Answer 1

Complementary angles are angles that add up to 90 degrees. Supplementary angles are angles that add up to 180 degrees.

So therefore we know that A and B always add up to 90 degrees and B and C always add up to 180 degrees.

So first question:

A + B = 90

52 + B = 90

-52           -52

B = 38

And then B + C = 180

38 + C = 180

-38           -38

C = 142

You can do the same thing for the second problem, except this time you already know B.

A + 67 = 90

-67          -67

A = 23

67 + C = 180

-67          -67

C = 113

Next one:

Now you have to first find the angle of B.

B + 107 = 180

-107           -107

B = 73

A + 73 = 90

-73         -73

A = 17

Last one:

A + 12 = 90

-12          -12

A = 78

12 + C = 180

-12          -12

C = 168