Question

Value of x=?
From the given figure

Answer 1

∠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