Question

What is the angle of c (∠c) Help immensely I will give brainliest

Answer 1

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°.