Question

Which is the measure of angle C

A). 42°
B). 138°
C). 180°
D). 218°

Answer 1

∠C° = 138°.

Explanation:

Given : Figure.

To find : Which is the measure of angle C

Solution :We have given that

We can see from the given figure angle C and angle 45 are formed on a line.

So, it formed linear pair angle

According to property : Sum of linear pair angle is 180 degree.

Then ,

∠42° + ∠C° = 180°.

On subtracting both sides by 42.

∠C° = 180 -42.

∠C° = 138°.

Therefore, ∠C° = 138°.