Question

State the property that is used in each of the following statements.
Answer fast please.

Answer 1

$\bf \huge {\underline {\underline \red{AnSwEr}}}$

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1》If [a] is || to [b] then angle 4 is equal to angle 8 ?

➞ ∠4 = ∠8 [ Corresponding Angles ]

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Corresponding Angles

➡the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.

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2》If [a] is || to [b] then angle 2 is equal to angle 8 ?

➞ ∠2 = ∠8 [ Alternate Interior Angle ]

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Alternate Interior Angle

➡ Alternate angles are angles that are in opposite positions relative to a transversal intersecting two lines. Examples. If the alternate angles are between the two lines intersected by the transversal, they are called alternate interior angles.

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3》If [a] is || to [b] then angle ∠2 + ∠5 = 180° ?

➞ ∠2 + ∠5 = 180° [ Co-interior Angle ]

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Co InteriorAngle

➡ Co-interior angles lie between two lines and on the same side of a transversal. In each diagram the two marked angles are called co-interior angles. If the two lines are parallel, then co-interior angles add to give 180o and so are supplementary.