b) ∠CAF and ∠BAE are _____ angles
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Step-by-step explanation:
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Step-by-step explanation:
We know that AB∥CD and AE is a transversal
From the figure we know that ∠BAE and ∠DOE are corresponding angle
So we get
∠BAE=∠DOE=65 ∘
From the figure we know that ∠DOE and ∠COE form a linear pair of angles
So we get
∠DOE+∠COE=180 ∘
By substituting the values
65 ∘ +∠COE=180 ∘
On further calculation
∠COE=180 ∘ −65 ∘By subtraction
∠COE=115
We know that the sum of all the angles in triangle OCE is 180 ∘ .∠OEC+∠ECO+∠COE=180 ∘
By substituting the values we get
20 ∘ +∠ECO+115 ∘ =180 ∘
On further calculation
∠ECO=180 ∘ −20 ∘ −115 ∘
By subtraction ∠ECO=45 ∘Therefore, ∠ECO=45∘ .
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