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aleksley [76]
3 years ago
15

I NEED HELP!!! Someone please help

Mathematics
1 answer:
Ulleksa [173]3 years ago
6 0
The best thing to do is figure out what we can deduce to isolate what we can't deduce.
The first answer is true because angles 1 and 8 are congruent by the Alternate Exterior Angles Theorem, which states that if two lines are congruent, it's alternate exterior angles are congruent.
The second answer is true by the Same-Side Interior Angles Theorem, which states that angles created by a transversal that are both in the interior of the transversal are congruent.
The third choice is incorrect, and we know this is true because the previous theorem we used (Same Side Interior Angles) is shown again, but with different angles. Therefore, Choice C is incorrect, and therefore your answer.

(As a side note, Choice D is correct, but a short proof must be written to prove this, as it is not defined by a single postulate or theorem).

:)
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Find the measures of the angle, its complement, and its suplement if three times the measure of a suplement of an angle is eight
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The angle, its complement, and its supplement are 36, 54 and 144 degrees respectively

<h3>Supplementary and complementary angles</h3>

The sum of complementary angles s 90 degrees while that of supplementary angles is 180 degrees.

Let the complement of an angle be 90 -x and its supplement be 180 -x

If three times the measure of a supplement of an angle is eight times the measure of a complement of the angle, then;

3(180-x) = 8(90-x)

Expand

540-3x = 730 - 8x

540-720 = -8x + 3x

180 = 5x

x = 180/5

x = 36 degrees

Complement  = 90 - 36 = 54degrees

Supplement = 180 - 36 = 144 degrees

Hence the angle, its complement, and its supplement are 36, 54 and 144 degrees respectively

Learn more on complement and supplement here; brainly.com/question/13517672

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