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3 years ago

5

If Angle L=105 degrees, What is the measurement of angle N???

2 answers:

GalinKa [24]3 years ago

8 0

Angle N is also 105 degrees, they are alternate exterior angles so they are congruent

lesantik [10]3 years ago

6 0

If Angle L=105 degrees, What is the measurement of angle N?

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Angles U and V are supplementary angles. The ratio of their measures is 7:13 Find the measure of each angle

GREYUIT [131]

If $u$ and $v$ are <span>supplementary angles, then

$u+v=180^{\circ}~~~~~\mathbf{(i)}$

The ratio of $u$ and $v$ is $\dfrac{7}{13}:$ <span>

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Substitute $\mathbf{(ii)}$ into $\mathbf{(i)}:$

$\dfrac{7v}{13}+v=180^{\circ}\\\\\\ \left(\dfrac{7}{13}+1 \right )\cdot v=180^{\circ}\\\\\\ \left(\dfrac{7}{13}+\dfrac{13}{13} \right )\cdot v=180^{\circ}\\\\\\ \dfrac{20}{13}\cdot v=180^{\circ}\\\\\\ v=180^{\circ}\cdot \dfrac{13}{20}\\\\\\ \boxed{\begin{array}{c} v=117^{\circ} \end{array}}$

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</span></span>

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3 years ago

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Mama L [17]

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<u>The slope is:</u>

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y = x - 4

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<u>The points plotted as well and those on the line are:</u>

(1,-3)
(2,-2)

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2 years ago