Explanation Given: The line D E is parallel to line A B , and D F is parallel to line A C . If m ( ∠ C ) = 70 ° and m ( ∠ B ) = 45 ° . Figure-(1) Calculation: Consider the given condition: The line D E is parallel to line A B , and D F is parallel to line A C If m ( ∠ C ) = 70 ° and m ( ∠ B ) = 45 ° . Sum of the angle of the triangle is, 70 ° + m ( ∠ 1 ) + 45 ° = 180 ° m ( ∠ 1 ) = 180 ° − 115 ° m ( ∠ 1 ) = 65 ° DF is parallel to line AE . So, m ( ∠ 1 ) = m ( ∠ 2 ) and m ( ∠ 3 ) = m ( ∠ 4 )

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Author: BILLSTEIN

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Chapter 11.CR, Problem 15CR

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The angle 1, 2, 3, 4, and 5 for the given condition.

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The angle 1, 2, 3, 4, and 5 for the given condition.

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The angle 1, 2, 3, 4, and 5 for the given condition.

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