516.36 because the thousandth digit isn't above 5 so you don't round up
Answer:
Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles below are similar, compare their corresponding sides.
<h2>The missing measures of the angles are:</h2>

<u>Given</u>:

<em><u>Note the following:</u></em>
- An equilateral triangle has all its three angles equal to each other. Each angle =
.
- This implies that, since
is equilateral, therefore, 
- Base angles of an isosceles triangle are congruent to each other.
- This implies that, since
is isosceles, therefore, 
Applying the above stated, let's find the measure of each angle:
- Find

(an angle in an equilateral triangle equals 60 degrees)
- Find




- Find
and
(base angles of isosceles triangle WZY)


(base angles of isosceles triangle are congruent)
Therefore,

- Find


Substitute

The missing measures of the angles are:

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Since you know the given angle is 46deg. You also know that a straight line is equal to 180deg. So it's a supplementary angle, therefore you subtract 46 from 180 and get 134. And since the l, m, and n are parallel, they have congruent angles. So x = 134deg.