Which two equations relate the measure of ∠4, to the measures of ∠1, ∠2, and/or ∠3.
A. m∠4 = m∠1 + m∠2
B. m∠4 = m∠2 + m∠3
C. m∠4 = 180° − m∠3
D. m∠4 = 180° − (m∠3 + m∠2)

Which two equations relate the measure of 4 to the measures of 1 2 andor 3 A m4 m1 m2 B m4 m2 m3 C m4 180 m3 D m4 180 m3 m2 class=

Respuesta :

A. m4 = m1 + m2
C. m4 = 180° - m3

A. m∠4 = m∠1 + m∠2

C. m∠4 = 180° − m∠3

  • In any triangle ABC the measure of the exterior angle is equal to the sum of the interior angle opposite to it.
  • The sum of exterior angle and interior angle is equal to 180 degrees.

So we can write

m∠4 = m∠1 + m∠2

And m∠4 + m∠3= 180°

m∠4 = 180° − m∠3

Therefore, the correct equations are :

A. m∠4 = m∠1 + m∠2

C. m∠4 = 180° − m∠3

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