Answered

Get reliable answers to your questions at Westonci.ca, where our knowledgeable community is always ready to help. Explore thousands of questions and answers from a knowledgeable community of experts on our user-friendly platform. Get precise and detailed answers to your questions from a knowledgeable community of experts on our Q&A platform.

In the adjoining figure ABCD is a rhombus and angle abd is equal to 50 degree. find
1.angle CAB
2.angle BCD
3.angle ADC
​

Sagot :

mhanifa

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)
View image mhanifa
Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.