Question

AB and CD are two lines intersecting at O
Find W, Z and x+y​

Answer 1

$\huge\mathfrak\orange{Answer :}$

Since OC and OD àre in the same line,

therefore

∠COA + ∠AOE + ∠EOD = 180°.

==> 84° + 75° + y = 180°

==> 159° + y = 180°

==> y = 180° - 159°

==> 21°

Since AB and CD intersect at O, therefore

∠BOD = ∠AOC

==> z = 84°.

Now, OC and OD are in the same line,

therefore

∠COB + ∠BOD = 180°

$==> 2x + z = 180°$

$==> 2x + 84° = 180°$

$==> 2x = 96°$

$==> x = 96° ÷ 2$

$==> 48°$

Hence,x = 48° ,y = 21° and z= 84°.