9514 1404 393
Answer:
B: L, M, N
Step-by-step explanation:
The sides are listed from shortest to longest. The angles opposite these sides will be in order smallest to largest. The name of the opposite angle is the vertex whose name is missing from the side's name.
MN is opposite angle L, the smallest
LN is opposite angle M, the middle-size
LM is opposite angle N, the largest.
Smallest to largest, the angles are ∠L, ∠M, ∠N.
Those are some of the first letters of the month. j = January, f = Feb, m = March, a = April, and m = May.
Happy studying ^-^
What do we know about these angles? Immediately, you might notice that (4y-8)° and (16x-4)° share a line. The same is true of (16x-4)° and (14x+4)°. Any straight line forms what's called a <em>straight angle</em>, which measures 180°, so we know that, since they add up to form a straight angle, (14x+4)° and (16x-4)° must add up to 180°. We can use that fact to set up an equation to solve for x:
(14x+4)+(16x-4)=180
After you solve for x, you should look to solve for y. How can we figure out what y is? If you're familiar with the vertical angle theorem, you'll know that all vertical angles (angles that are directly across from each other diagonally) are equal. So we know that 14x+4=4y-8. You can use the value of x you solved for before to solve this one fairly easily, and then you'll have both values.
