In each of the following figure AB - CD- Find the value of x in each case-

Question

Toppr Admin · Accepted Answer

Draw a line GH parallel to AB and CD passing through E-x2220-GEA-x2220-EAB -Alternate angles-x2220-GEA-65-x2218-x2220-GEC-x2220-ECD -Alternate angles-x2220-GEC-35-x2218-x2220-CEA-x2220-GEA-x2220-GEC -From figure-x-65-x2218-35-x2218-100-x2218-

In each of the following figure AB || CD. Find the value of x in each case.

Draw a line $G H$ parallel to $A B$ and $C D$ passing through $E$
$∠ G E A = ∠ E A B$ (Alternate angles)
$∠ G E A = 65^{\circ}$
$∠ G E C = ∠ E C D$ (Alternate angles)
$∠ G E C = 35^{\circ}$
$∠ C E A = ∠ G E A + ∠ G E C$ (From figure)
$x = 65^{\circ} + 35^{\circ} = 100^{\circ}$

In each of the following figure AB || CD. Find the value of x in each case.

Draw a line GH parallel to AB and CD passing through E∠GEA=∠EAB (Alternate angles)∠GEA=65∘∠GEC=∠ECD (Alternate angles)∠GEC=35∘∠CEA=∠GEA+∠GEC (From figure)x=65∘+35∘=100∘

Draw a line $G H$ parallel to $A B$ and $C D$ passing through $E$
$∠ G E A = ∠ E A B$ (Alternate angles)
$∠ G E A = 65^{\circ}$
$∠ G E C = ∠ E C D$ (Alternate angles)
$∠ G E C = 35^{\circ}$
$∠ C E A = ∠ G E A + ∠ G E C$ (From figure)
$x = 65^{\circ} + 35^{\circ} = 100^{\circ}$