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I’m confused I’ve tried doing the equation and get x = 1.75

I’m confused I’ve tried doing the equation and get x = 1.75-example-1
User Rutsky
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1 Answer

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18 votes

Solution:

Given:

A parallelogram with;


\begin{gathered} \angle M=8x+1 \\ \angle K=16x-13 \end{gathered}

In a parallelogram, the angles on the same side of the transversal are supplementary, which means they add up to 180 degrees.

Hence,


\angle M+\angle K=180^0

Thus,


\begin{gathered} 8x+1+16x-13=180^0 \\ \text{Collecting the like terms,} \\ 8x+16x+1-13=180^0 \\ 24x-12=180 \\ 24x=180+12 \\ 24x=192 \\ \text{Dividing both sides by 24 to get the value of x,} \\ x=(192)/(24) \\ x=8 \end{gathered}

To get the measure of angle K, we substitute the value of x gotten.


\begin{gathered} \angle K=16x-13 \\ \text{Hence,} \\ m\angle K=16x-13 \\ m\angle K=16(8)-13 \\ m\angle K=128-13 \\ m\angle K=115^0 \end{gathered}

Therefore, the measure of angle K in the parallelogram is 115 degrees.

User Michael Westwort
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