Q3 of 32 Page 60

In figure 5.32 l || m, then find angles equivalent to ∠1.

Given:


l || m


Theory.


If 2 lines are parallel then their corresponding angles are equal


If 2 straight line intersect vertical opposite angles are equal


As l is parallel to m


By corresponding angle


⇒ ∠ 1 = ∠ 5


As m and n are straight lines


By vertically opposite angles


⇒ ∠ 5 = ∠ 7


∴ ∠ 1 = ∠ 7


As l and n are straight lines


By vertically opposite angles


⇒ ∠ 1 = ∠ 3


Hence ∠ 1 is equivalent to ∠ 3 , ∠ 5, ∠ 7


More from this chapter

All 32 →
1

In figure 5.30 lines AB, CD and EF are parallel.

Find ∠x, ∠y, ∠z and ∠p


 2

In figure 5.31 AB || EF. Find ∠x and ∠y.

 4

In figure 5.33 ∠1 = 60° and ∠6 =120°. Show that m and n are parallel.

 5

AP and BQ are the bisectors of more two alternate angles which are formed by the intersection of parallel lines l and n by a transversal N. Show that AP || BQ.