2 years ago

From the diagram below, if

Mathematics

1 answer:

Veseljchak [2.6K]2 years ago

8 0

The possible values of x in the diagram are x = 25 and x = -1

<h3>How to determine the value of x?</h3>

The given parameters are:

∠DAB = x² - 24x
∠DAC = 25

Both angles are congruent and adjacent angles.

So, we have:

∠DAB = ∠DAC

Substitute known values

x² - 24x = 25

Subtract 25 from both sides

x² - 24x - 25 = 0

Expand

x² + x - 25x - 25 = 0

Factorize

x(x + 1) - 25(x + 1) = 0

Factor out x + 1

(x - 25)(x + 1) = 0

Expand

x - 25 = 0 or x + 1 = 0

Solve for x

x = 25 or x = -1

Hence, the possible values of x are x = 25 and x = -1

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