Question

Sum of all angles of a traingle is ?​

Answer 1

Answer:

may this answer help you

Answer 2

Answer:

$\huge\underline{\overline{\mid{\bold{\pink{ANSWER-}}\mid}}}$

Sum of all angles of triangle is 180°

• In order to prove ..

$\Large{\underline{\underline{\bf{SoLuTion:-}}}}$

Let all the angles of the equilaterol triangle be 'x'.

Now, According to Statement:-

$➡x+x+x = 180°(Sum \: of \: all \: angles \: of \: a \: ∆ \: ) \\ </p><p></p><p>➡3x = 180° \\ </p><p></p><p>➡x= 180/3 \\ </p><p></p><p>➡x = 60°$

✌Hence, all the angles of triangle are 60°.

Explanation

In order to prove that the sum of angles of a triangle is 180, you must know the theorems of angles of a triangle.

We know that,  alternate interior angles are of equal magnitude.

This'll help us get the answer. Let us assume a triangle ABC. Now we have to substitute the angles.

∠PAB + ∠BAC + ∠CAQ = 180°. where PQ line parallel to side BC touching vertex A.

∠PAB = ∠ABC & ∠CAQ = ∠ACB BECAUSE alternate interior angles are congruent..

$\mathfrak{\huge{\orange{\underline{\underline{Proved }}}}}$