Which pair of lines in Fig. are parallel? Give reason.
AB || DC and BC || AD.
∠ BAD + ∠ ADC = 115° +65°
= 180°
∴ ∠ BAD and ∠ ADC are supplementary angles.
AB and CD are two lines and AD is a transversal. One pair of interior angles on the same side of the transversal are supplementary.
∴ AB and CD are parallel lines.
|||y ∠ CBA + ∠ BAD = 65° +115°
=180°
∴ ∠ CBA and ∠ BAD are supplementary angles.
∴ BC and AD are two lines and BA is a transversal. One pair of interior angles on the same side of the transversal are supplementary angles.
∠ BAD + ∠ ADC = 115° +65°
= 180°
∴ ∠ BAD and ∠ ADC are supplementary angles.
AB and CD are two lines and AD is a transversal. One pair of interior angles on the same side of the transversal are supplementary.
∴ AB and CD are parallel lines.
|||y ∠ CBA + ∠ BAD = 65° +115°
=180°
∴ ∠ CBA and ∠ BAD are supplementary angles.
∴ BC and AD are two lines and BA is a transversal. One pair of interior angles on the same side of the transversal are supplementary angles.
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