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16 votes
Please help me with this and pls don't answer if you don't know. thank you!

Please help me with this and pls don't answer if you don't know. thank you!-example-1
User Macbirdie
by
2.8k points

2 Answers

6 votes

Answer:

x = 5

Explanation:

all angles at corners in parallelogram must add to 360

bcd = 51 thus angle at opposite corner (bed) must also equal 51

adding = 51 + 51 = 102

angles at ebc and edc are also equal to each other

edf = 55 and cbf = 55

adding 55+55 = 110

360 - 110 - 102 = 148

divide by 2 for angles ebf and cfd

148/2 = 74

now solve

14x + 4 = 74

14x = 70

x = 5

User Brenda Bell
by
3.1k points
11 votes

Answer:


consider \: triangle \: BDE \\m<BCD = m<BED \\ angles \: of \: triangle \: sum \: up \: to \: 180 ° \\ (14x + 4)° + 55° + 51° = 180° \\ 14x = 180° - (4 + 55 + 51)° \\ 14x = 70° \\ x = (70)/(14) \\ x = 5

User Andersra
by
4.1k points