HELP ME ASAP PLEASE!!

x = 30

y = 7

Step-by-step explanation:

The triangle given is an equilateral triangle.

Equilateral Triangle

A triangle that has same length of all sides of triangle. They have same congruent internal angles as well.

So, If length of one side = 7

Length of other two sides will also be same i,e 7

Length of 2nd side = 7

Length of 3rd side = 7

Now, finding angles and value of x

The one angle is 2x, so the other two angles will be also 2x (because all angles of equilateral triangle are same)

We know that sum of all sides of angles of triagle = 180

We can write:

Solving the equation to find x

So, x = 30

Since y is not given in picture, I think it is length of other sides i.e y = 7

d is correct

step-by-step explanation:

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.