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CUET
General Test
Quantitative Reasoning
Geometry
Find the value of θ?
70°
75°
80°
90°
In polygon ABDC:
⇒ 50 + α + β = θ ....(1)
In polygon BDCE:
⇒ θ + α + β = 120° ....(2)
Now, (2) - (1)
⇒ 50 - θ = 120 - θ
⇒ 2θ = 160
⇒ θ = 80°