PLS HELP TT
write a paragraph proof for the following conjecture
Given m∠1 + m∠2 = m∠4
Prove: m∠3 + m∠1 + m∠2 = 180°

PLS HELP TT write a paragraph proof for the following conjecture Given m1 m2 m4 Prove m3 m1 m2 180 class=

Respuesta :

 m∠1 + m∠2 = m ∠4 , under the exterior angle property of a triangle which says that sum of the interior opposite angles of an exterior angle will be equal to the measure of the exterior angle .

To prove that m∠3 + m ∠1 +  m∠2 = 180° , let us use the angle sum property .

= Angle sum property = Sum of the three interior angles in a triangle will be equal to 180° .

= Since  ∠1 ,  ∠2 and  ∠3 are the interior angles of this triangle , their sum will be equal to 180° .

Hence proved that m∠1 +  m∠2 + m∠3 = 180°

∴ m∠1 +  m∠2 + m∠3 = 180° under the angle sum property of a triangle .

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