KymariY453672 KymariY453672
  • 25-10-2022
  • Mathematics
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Quadrilateral TUVW is a rhombus and m∠SVU=4z+56°. What is the value of z?WTUVS26°z=°Submit

Quadrilateral TUVW is a rhombus and mSVU4z56 What is the value of zWTUVS26zSubmit class=

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AzariyaA109226 AzariyaA109226
  • 25-10-2022

From the question, we were told:

TUVW is a rhombus

Angle SUV = 4z + 56˚

We are asked to find the value of z.

From the diagram, we can see that angle SVU is 90˚

So, to get the value of z, we equate the value of SVU to 90˚

4z + 56˚ = 90˚

subtract 56˚ from both sides:

4z + 56 - 56 = 90 - 56

4z = 34

divide both sides by 4 to make z the subject of formula:

z = 34/4

z = 8.5

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