In the given figure, CE || BA and EF || CD. If ∠BAC = 40°, ∠ACB = 65° and ∠CEF = x° then the value of x is

Question

In the given figure, CE || BA and EF || CD. If ∠ BAC = 40 ° , ∠ ACB = 65 ° and ∠ CEF = x ° then the value of x is

Philoid · Accepted Answer

Given,

∠BAC = 40°

∠ACB = 65°

According to figure,

⸫ ∠ACE = 40° [Alternate angles]

⸫ ∠ACB + ∠ACE = x° [Alternate angles]

⇒ x° = 65° + 40°

⸫ x = 105°