May I please receive help?

m<v= 60 degrees

m<x= 100 degrees

Step-by-step explanation:

1) First let's find the measure of angle v. Most of the time if none of the angles are known then it is impossible to find others. However, this specific triangle is an equilateral, which has special rules. We know this is an equilateral because all the sides have the same length. Equilaterals will always have angles with measures of 60 degrees. This is due to the fact that sides and angles are proportionate. Therefore, if all the sides are the same, then the angles must be as well and 180 divided by 3 is 60.

2) Then, we can find the next measurement. This triangle is isosceles. Isosceles triangles have 2 equal sides and angles. The triangle represented above has 2 congruent sides; therefore, the base triangles must also be congruent. So we know that angles Y and W are 40. To find angle X make the expression 180-(40+40). This means that angle x must be 100 degrees.  

d≈7.07in

step-by-step explanation: