Question

Construct a rhombus of perimeter 20 cm and one base angle is the supplement of 130 degree

Answer 1

Answer:

It is given that a rhombus of perimeter 20 cm and one base angle is the supplement of 130 degree

From the given information we get 1 side of rhombus = 20/4 = 5cm

One angle = 130° therefore the adjacent angle = 180 - 130 = 50°

Drawing of rhombus

Step1: draw a line segment AB of 5 cm

Step 2: Draw  line AX from A making an angle of 130° with AB   and draw a line BY from B making an angleof 50° with AB

Step 3: Mark a point on AX  as D such that AD = 5cm

Step 4: Mark a point on BY  as C such that BC = 5cm

ABCD is arhombus of perimeter 20 cm and one base angle is the supplement of 130 degree

Answer 2

Thank you for asking this question. Here is your answer:

The perimeter of Rhombus is 4s

4s = 20cm

s = 20/4

s = 5 cm

Now we will find the base angle = 180° - 130°

= 50°

If there is any confusion please leave a comment below.