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2 years ago

Does anyone know how to solve this problem

Mathematics

1 answer:

strojnjashka [21]2 years ago

5 0

9514 1404 393

Answer:

∠CBE = 59°

Step-by-step explanation:

Adjacent angles of a parallelogram are supplementary.

∠BCD +∠CDE = 180°

∠BCD +∠CDB +∠BDE = 180°

(21x -5) +34 +(4x+1) = 180

25x +30 = 180

25x = 150

x = 6

∠CBE = ∠CDE = 34 +(4x +1) = 4x +35 = 4(6) +35

∠CBE = 59°

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Answer:

EF =58

Step-by-step explanation:

from the illustration,

EF =DF - DE

given that DF =9x-39 , DE =47 EF=3x +10

substitute them into the formula,

3x +10=9x-39 - 47

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grouping like terms

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dividing through by -6

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