Question

In the given figure, two lines AB and CD intersect each other at point E. Find the values of x, y, and z


(SPAM = free ban)

Answer 1

Answer:

the answer is

z=120

x=30

y=60

Answer 2

Answer:

Correct Answer - ∠ A O C = 75 ∘ = ∠ B O D , ∠ A O D = 105 ∘ = ∠ B O C ∠AOC=75∘=∠BOD,∠AOD=105∘=∠BOC Let A O C = ( 5 x ) ∘ AOC=(5x)∘ and ∠ A O D = ( 7 x ) ∘ ∠AOD=(7x)∘. ∠ A O C + ∠ A O D = 180 ∘ ⇒ 5 x + 7 x = 180 ⇒ 12 x = 180 ⇒ x = 15 ∠AOC+∠AOD=180∘⇒5x+7x=180⇒12x=180⇒x=15. ∴ ∠ A O C = ( 5 × 15 ) ∘ = 75 ∘ and ∠ A O D = ( 7 × 15 ) ∘ = 105 ∘ ∴∠AOC=(5×15)∘=75∘and∠AOD=(7×15)∘=105∘. ∠ B O D = ∠ A O C = 75 ∘ ∠BOD=∠AOC=75∘ [vertically opposite ∠ s ∠s] ∠ B O C = ∠ A O D = 105 ∘ ∠BOC=∠AOD=105∘ [vertically opposite ∠ s ∠s].