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Find the value of x y and z below !

Find the value of x y and z below !-example-1
User Basia
by
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1 Answer

6 votes

Answer:


x=67, y=121, z=65

Explanation:

One property of parallelogram is that opposite angles have the same measure, so we can write down:


(y-9)=112\\y=121

Another property is that two adjacent angles are supplementary (meaning that they add up to 180 degrees). Thus, the following equations are true:


(z+3)+112=180\\(x+1)+112=180

Solve the equations:


(z+3)+112=180\\z+115=180\\z=65\\(x+1)+112=180\\x+113=180\\x=67

To check, add up all 4 angles and check if they sum up to 360 degrees:


x=67, y=121, z=65\\(y-9)+(x+1)+(z+3)+112=360\\(121-9)+(67+1)+(65+3)+112=360\\112+68+68+112=360\\360=360

And please ignore the fact that I cannot insert the degree sign :(

User Tatyana Molchanova
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7.3k points