In figure 2.20, if angle a is congruent to angle b and angle x is congruent to angle y then prove that line l || line n
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Given ∠ a≅ ∠ b and ∠ x≅ ∠ y
To find: line L ∥ line N
∠ a≅ ∠ b (given)
But they form a pair of corresponding angles which are congruent
Line L ∥ line M …………... (1)
∠ x≅ ∠ y (given)
But they form a pair of alternative angle that are congruent
Line M ∥ line N (alternative angle) ………… (2)
Equation (1) and equation (2)
Line L ∥ line N (hence proved).
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