If the measure of ∠ABD is 6.2 times greater than the measure of ∠CBD=25° and if ∠FBE and ∠EBD are congruent then ∠FBE =65°.
Given that the measure of ∠ABD is 6.2 times greater than the measure of ∠CBD and ∠FBE and ∠EBD are congruent.
We are required to find the measure of ∠CBD and ∠FBE.
∠ABD=6.2*∠CBD--------1
∠ABD+∠CBD=180°
6.2 ∠CBD+∠CBD=180  (From equation 1)
7.2 ∠CBD=180
∠CBD=180/7.2
∠CBD=25°
∠ABD=6.2*25
=155°
∠ABD=90+∠EBD
155=90+∠EBD
∠EBD=155-90
∠EBD=65°
Because ∠FBE and ∠EBD are congruent, ∠FBE =65°.
Hence if the measure of ∠ABD is 6.2 times greater than the measure of ∠CBD=25° and if ∠FBE and ∠EBD are congruent then ∠FBE =65°.
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