Question

Which equation represents the relationship between the angles in the figure?

Answer 1

The options are;

A) b + c = 90

B) 90 + c = 180

C) b + c = 180

D) 42 + b = 150

Answer:

C) b + c = 180

Step-by-step explanation:

From angle theorems, we know that sum of angles on a straight line is 180°

Now, c and 42° form a straight line.

Thus;

c + 42 = 180°

c = 180 - 42

c = 138°

Similarly b and c form a straight line and so;

b + c = 180°

From the given options, the only correct one is Option C.