bryant2706002386 bryant2706002386

01-12-2020
Mathematics

contestada

Solve. Justify your responses.

Given:

AB║CD║EF

Prove: m∠1+m∠2+m∠3+m∠4=360°

Solve Justify your responsesGiven ABCDEF Prove m1m2m3m4360 class=

Respuesta :

akposevictor akposevictor

07-12-2020

Answer/Step-by-step explanation:

[tex] \overline{AB} \parallel \overline{CD} \parallel \overline{EF} [/tex] ----› Given

[tex] \angle 1 + \angle 2 = 180 [/tex] ----› consecutive interior angles are supplementary

[tex] \angle 3 + \angle 4 = 180 [/tex] ----› consecutive interior angles are supplementary

Therefore:

[tex] \angle 1 + \angle 2 + \angle 3 + \angle 4 = 360 [/tex]

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