In figure 2.20, if ∠ a ≅ ∠ b and ∠ x ≅ ∠ y then prove that line L ∥ line N.

Question

Philoid · Accepted Answer

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).

In figure 2.20, if ∠ a≅ ∠ b and ∠ x≅ ∠ y then prove that line L ∥ line N.