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Marina CMI [18]
2 years ago
12

In the adjoining figure ABCD is a rhombus and angle abd is equal to 50 degree. find

Mathematics
2 answers:
AVprozaik [17]2 years ago
8 0

Answer:

  • See below

Step-by-step explanation:

<u>Property of the rhombus:</u>

  • Opposite angles are congruent and adjacent angles are supplementary.
  • Diagonals are angle bisectors.
  • Diagonals are perpendicular.

<u>We have: </u>

  • m∠ABD  = 50°

<u>Angle ABC is:</u>

  • m∠ABC = 2*m∠ABD  = 50°*2 = 100°

<u>Opposite angle is equal to this:</u>

  • m∠ADC = m∠ABC = 100°

<u>Adjacent angles are:</u>

  • m∠BAD = m∠BCD = 180° - 100° = 80°

<u>The missing angles measures:</u>

  • 1) m∠CAB = 1/2*m∠BAD = 1/2*80° = 40°
  • 2) m∠BCD = 80° (shown above)
  • 3) m∠ADC = 100° (shown above)

garik1379 [7]2 years ago
3 0

Answer:

1=50

2=50

3=50

Step-by-step explanation:

rhombus has equal degree

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