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sp2606 [1]
2 years ago
6

Find the measures of the angle, its complement, and its suplement if three times the measure of a suplement of an angle is eight

times the measure of a complement of the angle.
Mathematics
1 answer:
Butoxors [25]2 years ago
6 0

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

#SPJ1

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Answer:

(0.5, 1.3)(0.5, 1.3)

Step-by-step explanation:

Given equations are:

As we can see that the given equations are linear equations which are graphed as straight lines on graph. The solution of two equations is the point of their intersection on the graph.

We can plot the graph of both equations using any online or desktop graphing tool.

We have used "Desmos" online graphing calculator to plot the graph of two lines (Picture Attached)

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​

​15

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​4

​

​3

​​ .

6to\times 9,\frac{9}{12},9to\times 12,\frac{15}{20\frac{3}{4}},246to×9,

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​9

​​ ,9to×12,

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​

​3

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​

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2 Convert 20\frac{3}{4}20

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​​  to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

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​9

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​9

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