Respuesta :

akposevictor

Answer:

x = 3

Step-by-step explanation:

We'd apply some properties of rhombus.

m<RZT = (10x - 8)°

m<ZRY = 90° (diagonals bisect at 90°)

m<ZYR = ½(m<XYZ) = ½(136) = 68°

m<RZT + m<ZRY + m<ZYR = 180° (sum of ∆)

(10x - 8) + 90 + 68 = 180

Solve for x

10x - 8 + 90 + 68 = 180

10x + 150 = 180

10x = 180 - 150 (subtraction property of equality)

10x = 30

Divide both sides by 10

x = 3

The value of x is 3

  • The calculation is as follows:

m<RZT = (10x - 8)°

m<ZRY = 90° (diagonals bisect at 90°)

m<ZYR = ½(m<XYZ) = ½(136) = 68°

Now

m<RZT + m<ZRY + m<ZYR = 180° (sum of ∆)

(10x - 8) + 90 + 68 = 180

10x + 150 = 180

10x = 30

x = 3

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