In the given figure AB parallel CD- the value of x and y-x - 35-circ- y - 65-circ-x - 95-circ- y - 65-circ-x - 25-circ- y - 65-circ-x - 85-circ- y - 65-circ-

Question

Toppr Admin · Accepted Answer

GivenAB-x2225-CD-amp-RQisthetransversalthen-x2220-QHC-x2220-AFH-115o-Correspondingangles-Nowy-x2220-AFH-180o-Linearpair-x21D2-y-180o-x2212-115o-x21D2-y-65oNowAB-x2225-CD-amp-PQisthetransversalthen-x2220-PBF-x-Correspondingangles-Sox-85o

In the given figure AB∥CD. find the value of x and y.x=35∘,y=65∘x=95∘,y=65∘x=25∘,y=65∘x=85∘,y=65∘

GivenAB∥CD&RQisthetransversalthen∠QHC=∠AFH=115o{Correspondingangles}Nowy+∠AFH=180o{Linearpair}⇒y=180o−115o⇒y=65oNowAB∥CD&PQisthetransversalthen∠PBF=x{Correspondingangles}Sox=85o

In the given figure $A B ∥ C D$ . find the value of x and y.

$x = 35^{\circ}, y = 65^{\circ}$
$x = 95^{\circ}, y = 65^{\circ}$
$x = 25^{\circ}, y = 65^{\circ}$
$x = 85^{\circ}, y = 65^{\circ}$