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Can you please help with this

Can you please help with this-example-1
User Zayda
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1 Answer

4 votes

Answer:

x = 27 , y = - 17 , z = 62

Explanation:

In a rhombus

• opposite angles are congruent ( equal ) , then

- 4y - 5 = 63 ( add 5 to both sides )

- 4y = 68 ( divide both sides by - 4 )

y = - 17

In a rhombus

consecutive angles are supplementary ( add to 180° )

Then (4x + 9) and 63 are consecutive angles , so

4x + 9 + 63 = 180 ( simplify left side )

4x + 72 = 180 ( subtract72 from both sides )

4x = 108 ( divide both sides by 4 )

x = 27

also (2z - 7) and 63 are consecutive angles , so

2z - 7 + 63 = 180 ( simplify left side )

2z + 56 = 180 ( subtract 56 from both sides )

2z = 124 ( divide both sides by 2 )

z = 62

solution is x = 27 , y = - 17 , z = 62

User Jijijijiji
by
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