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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