Question

Please send the answer

Answer 1

Step-by-step explanation:

in the diagram

(i) ∠AMD = ∠MBC = 60⁰ (corresponding angles)

∠CMB = ∠DAM = 40⁰ (corresponding angles)

∠CDM = AMD = 60⁰ (alternate interior angles)

∠DCM = ∠CMB = 40⁰ (alternate interior angles)

On straight line AMB,

∠ AMD + ∠DMC + ∠CMB = 180⁰ (angles in a straight line)

60⁰ + ∠DMC + 40⁰ = 180⁰

∠DMC + 100⁰ = 180⁰

∠DMC = 180⁰-100⁰

∠DMC = 80⁰

∠ADM = ∠DMC = 80⁰ (alternate interior angles)

∠MCB = ∠DMC = 80⁰ (alternate interior angles)

hope this helps you better