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  • 22-06-2021
  • Mathematics
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(b) Find the measure of ZABC to the nearest degree.

b Find the measure of ZABC to the nearest degree class=

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wolf1728
wolf1728 wolf1728
  • 22-06-2021

Answer:

The diagonals are AC = 16 and DB = 30

We must determine the rhombus altitude

altitude = AC * DB / (2 * side)

altitude = 16 * 30 / (2 * 17)

altitude = 14.1176470588235

arc sine (angle D) = opp/hyp = 14.1176470588235 / 17

arc sine (angle D) = 0.83044982698962

angle D = 56.145 degrees

In a rhombus, Angle D = Angle B so Angle B = 56.145

In a rhombus, the diagonals bisect the angles so

Angle ABC = 56.145 / 2 = 28.0725 Degrees

Source: https://www.1728.org/quadrhom.htm

Step-by-step explanation:

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