Question

hii mates....

good evening....

pls solve the above question....


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Answer 1

Answer:

hope u understand

mark as brainlist sis..?.

Step-by-step explanation:

#VAIBHAV........

Answer 2

$\rule{200}{2}$

$\Huge\bigstar\:\tt\underline\red{GIVEN}$

• $\Large\sf\blue{AB\:\parallel\:ED}$
• $\Large\sf\blue{ED\: \parallel \:FG}$
• $\Large\sf\blue{EF \:\parallel \:CD}$
• $\Large\sf\blue{∠1 = 60°}$
• $\Large\sf\blue{∠3 = 55°}$

$\rule{200}{2}$

$\Huge\bigstar\:\tt\underline\red{TO\:FIND}$

• $\Large\sf\blue{\angle 2,\:\angle 4,\:and\:\angle 5}$

$\rule{200}{2}$

$\Huge\bigstar\:\tt\underline\red{SOLUTION}$

$\Large\star\:\sf\underline\pink{Refer\:The\: Attachment}$

$\large\dagger\:\:\sf\underline\gray{EF\parallel CD \:\:[transversal\: CD's \:cut] }$

$\large\leadsto\sf\green{∠3 = ∠5\:\:[55°=55°]}$

$\large\leadsto\sf\underline\green{ ∠5=55°}$

$\large\dagger\:\:\sf\underline\gray{ED \parallel XY \:\:[transversal \:CD's\:cut]}$

$\large\leadsto\sf\red{∠5 = ∠x \:\:[55°=55°]}$

$\large\leadsto\sf\red{∠x + ∠1 + ∠y = 180°}$

$\large\leadsto\sf\red{55° + 60° + ∠y = 180°}$

$\large\leadsto\sf\red{115° + ∠y = 180°}$

$\large\leadsto\sf\red{∠y = 180° - 115°}$

$\large\leadsto\sf\red{∠y = 65°}$

$\large\leadsto\sf\orange{∠y + ∠2 = 1800 \:\:(Co-interior \:angles)}$

$\large\leadsto\sf\orange{65° + ∠2 = 180°}$

$\large\leadsto\sf\orange{∠2 = 180° - 65°}$

$\large\leadsto\sf\underline\orange{∠2 = 115°}$

$\large\dagger\:\:\sf\underline\gray{ED \parallel FG\: cut\: by \:transversal\: EF}$

$\large\leadsto\sf\purple{∠3 + ∠4 = 180°}$

$\large\leadsto\sf\purple{55° + ∠4 = 180°}$

$\large\leadsto\sf\purple{∠4 = 180° - 55°}$

$\large\leadsto\sf\underline\purple{∠4 =125°}$

$\rule{200}{2}$