Answer:
∠C° = 138°.
Step-by-step 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°.