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makkiz [27]
3 years ago
13

6.Find the value of x. Don't forget your reasons. (x-38)

Mathematics
1 answer:
anzhelika [568]3 years ago
6 0

Answer:

x = 109

Step-by-step explanation:

The figure has one pair of parallel sides and is a trapezoid.

The lower base angle is supplementary to the upper base angle on the same side, thus

x + x - 38 = 180 , that is

2x - 38 = 180 ( add 38 to both sides )

2x = 218 ( divide both sides by 2 )

x = 109

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Andreas93 [3]

Given:

Consider the below figure attached with this question.

m\angle 3=(x+30)^\circ and m\angle 4=(2x-80)^\circ.

To find:

The measure of angle 3.

Solution:

From the below figure it is clear that, angle 3 and angle 4 are vertically opposite angles.

We know that, vertically opposite angles are always equal. So,

m\angle 3=m\angle 4

(x+30)^\circ=(2x-80)^\circ

x+30=2x-80

x-2x=-30-80

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x=110

Now,

m\angle 3=(110+30)^\circ

m\angle 3=140^\circ

Therefore, the measure of angle 3 is 140 degrees.

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3 years ago
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Answer:Yes, he is correct

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What is the value of xin the diagram?<br><br> A. 9<br> B. 8<br> C. 7<br> D. 6
RoseWind [281]

Answer:

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Step-by-step explanation:

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3 years ago
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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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3 years ago
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