In the given figure, if LABE:BED = 3:7, then find the ratio LCBE: LBEF.
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Answer:
m∠CBE : m∠BEF = 7:3
Explanation:
Let, m∠ABE = 3x & m∠BED = 7x.
Now,
m∠ABE = m∠BEF (Alternate interior angles)
=> m∠BEF = 3x __(1)
Again,
m∠BED = m∠CBE (Alternate interior angles)
=> m∠CBE = 7x __(2)
Now, dividing eqn (2) from (1)
m∠CBE : m∠BEF = 7x/3x
=> m∠CBE : m∠BEF = 7:3.
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