Question

Find the value of :X , Y, Z and W
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Answer 1

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In ∆ABC,

⠀⠀$\angle$A + $\angle$B + $\angle$C = 180⁰

⠀⠀72⁰ + 53⁰ + z = 180⁰

⠀⠀z = 55⁰

As AC || DE,

⠀⠀y = z = 55⁰ (corresponding)

Also,

⠀⠀y + w = 180⁰

⠀⠀w = 180⁰ - 55⁰

⠀⠀w = 125⁰

In ∆BED ,

⠀⠀y + 53⁰ = x (exterior angle as sum of interior)

⠀⠀x = 55⁰ + 53⁰

⠀⠀x = 108⁰