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a_sh-v [17]
3 years ago
11

CAN SOMEONE HELP WITH THIS ASAP!!!

Mathematics
1 answer:
jek_recluse [69]3 years ago
6 0

Answer: x=8

Step-by-step explanation:

Since we are given that ∠ABC and ∠DBC are complementary angles, we know that adding them together should give us 90°. We can use this to solve for x.

6x+13+4x-3=90         [combine like terms]

10x+10=90                 [subtract both sides by 10]

10x=80                       [divide both sides by 10]

x=8

Now, we know that x=8.

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\begin{gathered} \angle CAD=\angle ACB\text{ (Alternate Interior Angles)} \\ BC=AD\text{ (Opposite sides of parallelogram)} \\ \angle ADB=\angle CBD\text{ (Alternate Interior Angles)} \end{gathered}

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\begin{gathered} AE=CE \\ BE=DE \end{gathered}

Hence Proved.

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Step-by-step explanation:

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