Question

What is the value of f?

Answer 1

27°

Explanation:

Using information about angles, we can create an equation to solve for f.

Verticle Angles

There is a special angle relationship known as vertical angles. Vertical angles are opposite angles made by interesting lines. The left angle (made up of f and 44°) and the right angle (71°) are vertical angles. We know this because they are opposite each other and formed by the same interesting lines. Verticle angles are always congruent. This means that their measurements are equal.

Solving for f

We can use the information above to create an equation. Since we know that the left and right angles are congruent, we can set the equal to each other.

• f + 44 = 71

Now, we can subtract 44 from both sides and solve for f.

• f = 27

So, angle f must equal 27°.

Answer 2

`f+44^(\circ)` and
`71^(\circ)` are opposite angles.

Therefore

`f+44^(\circ)=71^(\circ)\\f=27^(\circ)`