Value of x=?
From the given figure
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∠ACB + ∠BAC + ∠ABC = 180⁰
∠ACB + 30⁰ + 45⁰ = 180⁰
∠ACB = 180⁰ - 30⁰ - 45⁰
∠ACB = 105⁰
∠ACD + ∠ACB = 180⁰
∠ACD + 105⁰ = 180⁰
∠ACD = 180⁰ - 105⁰
∠ACD = 75⁰
∠ACD = ∠MCD
∠CMD + ∠MCD + ∠CDM = 180⁰
∠CMD + 75⁰ + 20⁰ = 180⁰
∠CMD = 180⁰ - 75⁰ - 20⁰
∠CMD = 85⁰
∠CMD + x = 180⁰
85⁰ + x = 180⁰
x = 180⁰ - 85⁰
x = 95⁰
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