The sum of the measures of the angles in any triangle is 180 degrees.
this is the theorem.

This is the triangle sum Theorem.

Step-by-step explanation:

Given : The sum of the measures of the angles in any triangle is 180 degrees.

To find : This is the Theorem.

Solution: We have given that The sum of the measures of the angles in any triangle is 180 degrees.

By the triangle sum theorem :  Sum of all the interior angle of a triangle is 180 degree

Let a, b ,c are the angle of a triangle ,

Then a+b+c = 180 degree.

Therefore, This is the triangle sum Theorem.

c

step-by-step explanation:

at least i think its

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.