Math, asked by adarshsingh9c2019, 4 months ago

Q.1 Prove that sum of the angles of triangle is 180°​


adarshsingh9c2019: pls answer

Answers

Answered by aliabhatt30
3

Given :

A triangle ABC.

To prove :

∠A+∠B+∠C=180

∠1+∠2+∠3=180

Throughout A, draw a line l parallel to BC.

Attachments:

adarshsingh9c2019: thank you
aliabhatt30: welcom
Answered by XxitzArnavxX
1

\huge\tt\colorbox{white}{AnsweR ࿐}

\sf\colorbox{cyan}{✰ Given }

A triangle ABC

\sf\colorbox{cyan}{✰ To prove}

A+∠B+∠C=180°

⟹ ∠1 + ∠2 +∠3 = 180°

\sf\colorbox{cyan}{✰ Construction }

Through A , draw a line l parallel to BC.

\sf\colorbox{cyan}{✰ Proof }

Since ( 1 ) || BC. Therefore,

∠2 = ∠4 \tt\red{[ ☦ equation - (1) ☦ ]}

And , ∠3 = ∠5 \tt\red{[ ☦ equation - (2) ]}

adding eq(1) and (2)

Therefore, ∠2 + ∠3 = ∠4 + ∠5

∠1 + ∠2 + ∠3 = ∠1 + ∠4 + ∠5

[ adding ∠1 both Side ]

∠1 + ∠2 + ∠3 = 180°

Thus , the sum of three angles of a triangle is 180°

\tt\purple{☦ mark - me - as - brainliest ☦}

Attachments:
Similar questions