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In the rhombus, angle 1 = 10x, angle 2 = x + y, and angle 3 = 15z. Find the value of each variable. 2 1​

In The Rhombus Angle 1 10x Angle 2 X Y And Angle 3 15z Find The Value Of Each Variable 2 1 class=

Sagot :

adioabiola

The values of the variables x, y and z are; 9, 81 and 6 respectively

Rhombus Diagonals

According to the question;

  • All sides of the Rhombus are equal.

Hence, the Diagonals of the Rhombus are perpendicular bisectors of each other.

Therefore,

Angles 1, 2 and 3 are all equal to 90°, so that we have;

  • 10x = 90°

x = 9°

  • x + y = 90, where x=9

  • 9 + y = 90

y = 81°

  • 15z = 90

z = 6°

Read more on Rhombus Diagonals;

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