Respuesta :

Triangle to angle sum theorem.

m<EDB + m<DBE + m<BED = 180
90 + 50 +M<BED = 180
140 + M<BED = 180
-140                  - 140
------------------------------
M<BED = 40

The solution for m∠BED = 40 while BEA = 40°

8. How to solve for m∠BED

DBE = 50

BDE = 90

Then the value for ∠BED= 90 - 50 = 40°

9. Using congruent triangle determination

Ab = bd

Hence  ∠BED = BEA = 40°

10. 7x-2 = 40

7x = 42

x = 42/7

x = 6

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