Is the complement of a congruent angle it’s supplement

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

7 0

Complementary angles add up to 90 degrees. Supplementary angles add up to 180 degrees, so no.

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Triangle CDE is an isosceles triangle with angle d congruent to angle E if CD= 4x+9, DE= 7x-5, CE= 16x-27, find x and the measur

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ANSWER

$x = 3$
$CD= 21 \: units$
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EXPLANATION

It was given that ∆CDE is an isosceles triangle.

The length of the sides are given in terms of x as follows.

$CD=4x+9$

$DE=7x-5$

$CE=16x-27$

It was also given that, angle D is congruent to angle E.

This implies that, side CD and CE are equal.

Thus,

$|CD| = |CE|$
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$4x + 9 = 16x - 27$

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$16x - 4x = 9 + 27$

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Divide both sides by 12 to get,

$x = \frac{36}{12}$

$\therefore \: x = 3$

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$CD=4(3)+9 = 21 \: units$

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Can you add and subtract integers and surds together?

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