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Reika [66]
3 years ago
10

Triangle QRS has the angle measures shown.

Mathematics
1 answer:
galina1969 [7]3 years ago
7 0

Answer:

108 degrees

Step-by-step explanation:

Given the following angle measures in triangle QRS

m<Q = 1x

m<R = 3x

m<S = 6x

Note that the largest angle is the obtuse angle since they are always greater than 90 and less than 180 degrees

The sum of angle in a triangle is 180 degrees

m<Q + m<R + m<S = 180

1x + 3x + 6x = 180

10x = 180

x = 180/10

x = 18

The obtuse angle is 6x

Measure of the obtuse angle = 6x

Measure of the obtuse angle = 6(18)

Measure of the obtuse angle = 108 degrees

Hence the measure of the obtuse angle is 108 degrees

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Answer:

  • 12. x = 6, side = 83
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Step-by-step explanation:

<em>11 is incomplete, can't solve</em>

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<u>The triangle is equilateral, so all sides are equal, using one pair to find x:</u>

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<u>Finding x by comparing two sides</u>

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<u>Equal sides of isosceles triangle:</u>

  • CD = DE
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<u>Sides are</u>

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15.

<u>Equal sides of isosceles triangle WXY, WX = WY</u>

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  • XY = 5x - 7
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<u>Sides are:</u>

  • WX=WY = 4*23 + 3 = 95
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