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Nana76 [90]
2 years ago
7

Find the measures of the numbered angles in a rhombus DEFG

Mathematics
1 answer:
Gnom [1K]2 years ago
5 0

Applying the properties of a rhombus, the missing angles are determined as:

  • m∠1 = 90°
  • m∠2 = 42°
  • m∠3 = 42°
  • m∠4 = 48°
  • m∠5 = 48°

<h3>What are the properties of a Rhombus?</h3>
  • Diagonals of a rhombus bisect each other at right angles (they are perpendicular to each other).
  • All four sides are equal.
  • Adjacent angles in a rhombus are supplementary, that is, their sum equals 180 degrees.
  • Opposite angles are equal in a rhombus.
  • Diagonals of a rhombus bisect each of the angles into two equal halves.

Using the properties of a rhombus, the missing angles in the diagram attached below would be determined as follow:

m∠1 = 90° (right angle)

m∠4 = 48°

m∠2 = 180 - (90 + 48) = 42°

m∠3 = m∠2 = 42°

m∠5 = 180 - (90 + 42) = 48°

Learn more about rhombus on:

brainly.com/question/20627264

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Answer:

The distance is:

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Step-by-step explanation:

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\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):

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