Answer:
The measure of ∠c is 50°.
Step-by-step explanation:
When it comes to problems like these, there are two types of angles that should be kept in mind: complementary angles and supplementary angles.
Complementary angles are angles that add up to 90° (a right angle). Supplementary angles are angles that add up 180° degrees (a straight angle). A good way to recall this information in layman's terms is to remember this: complements are always right.
So now let's apply what we've learned to the problem. We have a straight angle that is composed of two 65° angles and an unknown C angle. We know that when angles add up to 180°, they're supplementary angles.
If we interpret our problem in algebriac form, we can say that:
65° + 65° + m∠C = 180°
Now we just solve this problem like any other algebriac equation. First, you can combine like terms.
130° + m∠C = 180°
Then, subtract 130° on both sides to isolate our variable.
m∠C = 50°
Now we can safely say that the measure of angle C is 50°.
