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dusya [7]
3 years ago
15

A and B are vertical angles. If mA = (8x – 12) and mB = (6x + 14) ,then find the value of x.

Mathematics
1 answer:
Novay_Z [31]3 years ago
8 0

Answer:

x = 14

Step-by-step explanation:

∠A = (8x – 12) and ∠B = (6x + 14)

∠A = ∠B because they are vertical angles

then:

(8x – 12) = (6x + 14)

reduce:

2x = 28

x = 14

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Comment
|First of all, the triangles are equal by ASA the way the diagram has been marked.

B and E are both right angles.
Side BC = Side DE
<BCA =< EDA 

So triangle BCA = triangle EDA

Now to the letters.
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x + 1 = y                (1)
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0.5x =  1 + 1.5
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y = 6

C Answer <<<<<<



 


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