shampton02 shampton02
  • 21-05-2019
  • Mathematics
contestada

In the rhombus, angle 1=4y-2. Find the value of y.

In the rhombus angle 14y2 Find the value of y class=

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sylvain96
sylvain96 sylvain96
  • 21-05-2019

Answer:

y = 23

Step-by-step explanation:

Since it's a rhombus, we know that the two diagonals are perpendicular.

That means that angle 1 is necessary a right angle, so it's worth 90 degrees since it's at the meeting point of the two perpendicular diagonals.

So, we have

∠1 = 4y - 2

All we have to do is to replace ∠1 by its value (90) and solve the mini-equation:

90 = 4y - 2

92 = 4y

y = 23

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