Question

Construct a quadrilateral ABCD in which AB = 5cm, BC =6.5cm, CD = 7cm, angle​ B=120° and angle C=90°

Answer 1

Step-by-step explanation:

Given Construct a quadrilateral ABCD in which AB = 5 cm, BC = 6.5 cm, CD = 7 cm, angle B = 120° and angle C = 90

• We need to construct a quadrilateral ABCD in which, AB = 5 cm, BC = 6.5 cm, CD = 7 cm, angle B = 120 degree and angle C = 90 degree.
• Draw a line segment BC of length 6.5 cm
• At the point B and C with the help of compass construct angle 120 degree and 90 degree.  
• Let the lines be CP and BQ respectively.
• From C make an arc at a distance of  7 cm on the line CP. Mark the point as D.
• From B, make an arc at a distance of  5 cm on the line BQ. Mark the point as A.
• So Join A and D.
• Now ABCD is a quadrilateral.
• So AB is parallel to CD.
• Angle B + angle C = 180 degree
• The lines are parallel if the sum of interior angles on the same side of transversal is supplementary.

Reference link will be

https://brainly.in/question/7625456

Answer 2

Answer:

angel B+angle C=180degrees