Need help fast! need the value of x and please show the work!

Mathematics

1 answer:

lions [1.4K]3 years ago

6 0

By the external angle of a triangle theorem

m < ABD = m < BDC + m < BCD

That is 5x + 2 = x^2 - 1 + 4x - 3

x^2 + 4x - 5x - 1 - 3 - 2 = 0

x^2 - x - 6 = 0

(x - 3)(x + 2) = 0

x = 3, -2

x cannot be -2 because that would make the external angle, 5x-2 negative.

Answer x = 3

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