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2 years ago

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:

Property of the rhombus:

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

We have:

m∠ABD = 50°

Angle ABC is:

m∠ABC = 2*m∠ABD = 50°*2 = 100°

Opposite angle is equal to this:

m∠ADC = m∠ABC = 100°

Adjacent angles are:

m∠BAD = m∠BCD = 180° - 100° = 80°

The missing angles measures:

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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