Question

give answer fast please​

Answer 1

Answer:

they are;

because the sum is 180

Answer 2

Given :  AB || ED

EF || BC

To Find : Prove that ∠ABC and ∠DEF are Supplementary

Solution:

Transversal line : A line which passes through two lines in the same plane at two distinct points.

Corresponding  angles : A pair of angles that occupy the same relative position at each intersection by a transversal line  

Co- Interior angles : A pair of angles that are on the same side of the transversal and inside the given lines

Interior alternate angles : A pair of angles on the inner side of each of those two lines but on opposite sides of the transversal  

Exterior alternate angles : A pair of angles on the outer side of each of  those two lines but on opposite sides of the transversal  

Properties of angles formed by transversal line  with two parallel lines :

• Corresponding angles are congruent. ( Equal in Measure)

• Alternate angles are congruent.  ( Interiors & Exterior  both )  

• Co-Interior angles are supplementary. ( adds up to 180°)

AB || ED , BC is transversal

Hence ∠ABC = ∠EDC  corresponding angles

EF || BC and DE is transversal

∠DEF + ∠EDC = 180° Co-Interior angles are supplementary

=> ∠DEF + ∠ABC = 180°

Hence ∠ABC and ∠DEF are supplementary

QED

Hence Proved

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