Question

Please answer this question guys...... please correct answer...


Vry important..

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Answer 1

Answer:

Hello.......

Step-by-step explanation:

Your answer is in this pic....

angle 4. = exterior angle

angle1+ angle 2 = opposite angles

Hope it helps...

Answer 2

$\rule{200}3$

$\color{red}\huge{\underline{\underline{\mathfrak{Statement:-}}}}$

If side of a triangle is produced, then the exterior angles so formed is equal to the sum of the two interior opposite angles.

$\rule{200}3$

$\color{blue}\huge{\underline{\underline{\mathfrak{Answer}}}}$

${\blue{\bold{\text{It is true and the proof is below}}}}$

$\rule{200}3$

$\color{orange}\huge{\underline{\underline{\mathfrak{Proof:-}}}}$

Given : A triangle ABC with interior angles x , y and z and exterior angle 'e'.

To prove : e = x + y

Proof :

In the figure, :

x + y + z = 180°.... (i) [Angle sum property]

e + z = 180 ° ........ (ii) [Linear pair]

${\blue{\bold{\text{On camparing equation \left( i \right) and \left( ii \right)}}}}$

x + y + z = e + z

Therefore, x + y = e

${\blue{\bold{\text{Hence proved}}}}$

$\rule{200}3$

${\blue{\bold{\text{Hope it helps}}}}$

${\blue{\bold{\text{Mark as brainliest}}}}$