Question

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Answer 1

Answer:

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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.