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⟿ Construction: Draw a line EO parallel to AB.
⟿ Given :
• AB || CD
• AB || EO
• CD || EO [lines parallel to same line are parallel to each other]
∠BOD = x
Let ∠BOE be ‘a’ & ∠DOE be ‘b’
⟹ 135 + a = 180 (AB||EO co-interior angles)
➝ a = 180-135
➝ a = 45
⟹ 145 + b = 180 (CD||OE co-interior angles)
➝ b = 180 - 145
➝ b = 35
⟼ ∠BOD = x
⟼ a + b = x
⟼ 45 + 35 = x
⟼ x = 80
⟿ Given :
• AB || CD
• AB || EO
• CD || EO [lines parallel to same line are parallel to each other]
∠BOD = x
Let ∠BOE be ‘a’ & ∠DOE be ‘b’
⟹ 135 + a = 180 (AB||EO co-interior angles)
➝ a = 180-135
➝ a = 45
⟹ 145 + b = 180 (CD||OE co-interior angles)
➝ b = 180 - 145
➝ b = 35
⟼ ∠BOD = x
⟼ a + b = x
⟼ 45 + 35 = x
⟼ x = 80
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