In the given figure AB // CD, ‘t’ is a transversal intersecting E

1.	In the given figure AB // CD, ‘t’ is a transversal intersecting E and F respectively. If ∠2 : ∠1 = 5 : 4, find the measure of each marked angles.
Answer» Given that AB // CD and ∠2 : ∠1 = 5 : 4 ∠1 + ∠2 = 180° (-. linear pair of angles) Sum of the terms of the ratio ∠2 :∠1 = 5 + 4 = 9 ∴ ∠1 = 4/9 x 180° = 80° ∠2= 5/9 x 180° = 100° Also ∠1, ∠3, ∠5, ∠7 are all equal to 80°. Similarly ∠2, ∠4, ∠6, ∠8 are all equal to 100°.

In the given figure AB // CD, ‘t’ is a transversal intersecting E and F respectively. If ∠2 : ∠1 = 5 : 4, find the measure of each marked angles.

Answer»

Given that AB // CD and ∠2 : ∠1 = 5 : 4 ∠1 + ∠2

= 180° (-. linear pair of angles)

Sum of the terms of the ratio ∠2 :∠1 = 5 + 4 = 9

∴ ∠1 = 4/9 x 180° = 80°

∠2= 5/9 x 180° = 100°

Also ∠1, ∠3, ∠5, ∠7 are all equal to 80°.

Similarly ∠2, ∠4, ∠6, ∠8 are all equal to 100°.