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Explanation:
Given: l ║m and p║q.
To Find : measure of angle ∠a,∠b,∠c,∠d.
Solution :1. ∠d =100° [vertically opposite angles]
2. ∠b=∠d [Corresponding angles]
∴ ∠ b = 100°.
3. ∠c =100° [corresponding angle]
4. ∠c+∠a =180° [Sum of the interior angles is 180]
100°+∠a=180°
∠a=180°-100°
∴ ∠a=80°.
∴The measure of ∠a=80°,∠b=100°,∠c=100°,∠d=100 respectively.
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