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Ber [7]
3 years ago
8

Name the angle that are supplements to Angle OPW.

Mathematics
2 answers:
irakobra [83]3 years ago
6 0

Answer:

A

Step-by-step explanation:

B is incorrect because angle UST is not equal to WPS,

C is incorrect because angle WTS is not equal to WPS.

Hope this helps!!

Let me know if I'm wrong...

Tresset [83]3 years ago
3 0

Answer:

option A

Step-by-step explanation:

∠WPS +∠OPW  = 180   {straight line}

∠WPS +110 = 180

∠WPS = 180 - 110

∠WPS = 70°

∠RWQ + ∠QWT +∠TWU = 180   {straight line}

∠RWQ + 60 + 50 = 180

∠RWQ + 110 = 180

∠RWQ = 180 - 110

∠RWQ= 70°

∠PWU +  ∠USP + ∠ WPS = 180  {angle sum property of triangle}

∠PWU + 40 + 70 = 180

∠PWU + 110 = 180

∠PWU = 180 - 110

∠PWU = 70°

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erastovalidia [21]

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Given that, 2x-2y = -4 passes through the point (3,9) then we have to find the equation of a line which is parallel to the given equation of line.

Let's proceed to find the equation of the line.

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept( the y-coordinate of the point where the line intersects the y-axis).

Using the slope-intercept formula, the equation of the line is:

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b = y-intercept of the line

(x, y) represent every point on the line

x and y have to be kept as the variables while applying the above formula.

2x-2y = -4

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y = -4/-2 - 2x/-2

y = 2+x

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On comparing with y = mx+b

m = 1 and b = 2

As the lines are parallel then the slope of other line will also be same i.e., m = 1

The point from which it is passes is (3,9)

⇒ x₁ = 3 and y₁ = 9

y-y₁ = m(x-x₁)

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Learn more in depth about similar problem at brainly.com/question/1884491

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OLEGan [10]

Answer/Step-by-step explanation:

Question 1:

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4x + 3x + 2x + 3x = (n - 2)180

n = 4, i.e. number of sides/interior angles.

Equation for finding x would be:

4x + 3x + 2x + 3x = (4 - 2)180

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<CDA and <ADE are supplementary (angles on a straight line).

The sum of m<CDA and m<ADE equal 180°. To find m<ADE, subtract m<CDA from 180°.

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