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PLEASE PLEASE PLEASE PLEASE HELP ME I DONT UNDERSTAND!!!!!!!WILL GIVE BRAINLIEST

In the figure, lines a, b, and c are parallel and m∠4=68° .

Drag and drop the correct angle measure for each angle.
m∠1 =

m∠2 =

m∠3 =

m∠5 =

PLEASE PLEASE PLEASE PLEASE HELP ME I DONT UNDERSTANDWILL GIVE BRAINLIEST In the figure lines a b and c are parallel and m468 Drag and drop the correct angle me class=

Respuesta :

sqdancefan
When parallel lines are cut by a transversal, certain angles are equal. In this figure, angles 1, 4, and 5 are equal, and angles 2 and 3 are equal.

Angles 3 and 4 together form a straight angle (180°), so they are supplementary.

∠1 = 68°
∠2 = 180° -68° = 112°
∠3 = 112°
∠5 = 68°

Answer:

The measure of ∠1 is 68°, ∠2 is 112°, ∠3 is 112° and ∠5 is 68°.

Step-by-step explanation:

It is given that lines a, b, and c are parallel.

If a transversal line intersect the line parallel line, then corresponding angles are same.

If a transversal line intersect the line parallel line, then alternate exterior angles are same.

[tex]\angle 1=\angle 4=68^{\circ}[/tex]               ( Alternate exterior angles)

[tex]\angle 1+\angle 2=180^{\circ}[/tex]              (Supplementary angles)

[tex]68^{\circ}+\angle 2=180^{\circ}[/tex]

[tex]\angle 2=180^{\circ}-68^{\circ}=112^{\circ}[/tex]

[tex]\angle 3+\angle 4=180^{\circ}[/tex]              (Supplementary angles)

[tex]68^{\circ}+\angle 3=180^{\circ}[/tex]

[tex]\angle 3=180^{\circ}-68^{\circ}=112^{\circ}[/tex]

[tex]\angle 4=\angle 5=68^{\circ}[/tex]               (Corresponding angles)

Therefore the measure of ∠1 is 68°, ∠2 is 112°, ∠3 is 112° and ∠5 is 68°.

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