ABC is an isosceles triangle in which ab is equal to AC and LM is parallel to BC if angle A equal to 50 degree find angle lmc?
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∠LMC = 115° ABC is an isosceles triangle in which AB = AC and LM || BC and ∠A = 50°
Step-by-step explanation:
ABC is an isosceles triangle in which AB = AC
=> ∠B = ∠C
∠A + ∠B + ∠C = 180°
∠A = 50°
=> ∠B + ∠C = 130°
=> ∠B = ∠C = 130/2 = 65°
LM ║ BC
=>∠ LMC + ∠C = 180°
=> ∠LMC + 65° = 180°
=> ∠LMC = 115°
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