Question

Construct a quadrilateral MIST where mi=3.5cm,is=6.5cm,angle m =75 degree, angle I =105 degree, and angle s= 120 degree

Answer 1

Answer:

given:

MI=3.5cm,

IS=6.5cm,

angleM=75degree,

angleI=105degree, and

angleS=120degree

1. draw line segment MI=3.5cm

2. construct angle M=75degree,

3. construct angle I=105degree

4. when you construct angle I, measure from point I 6.5cm and mark point S

5. in point S construct angle S=120degree

6. extend the arms of angle S and angle M until they intersect; there is a point T

Answer 2

Given:

• MI = 3.5 cm
• IS = 6.5 cm
• ∠M = 75°
• ∠I = 105°
• ∠S = 120°

To Find:

• To construct a quadrilateral using the given data.

Solution:

• First, draw a base MI of 3.5 cm using a scale.
• Next, draw a line of angle 105° from the point I using a protractor.
• Do the same on the other side, i,e., M just the angle is kept as  75°.
• Now use a compass and a scale and measure the compass as 6.5 cm and keep it on point I and cut an arc, we will get a line IS with 6.5 cm.
• Now again use a protractor and place it on point S and draw a line of angle 120° and name the line as ST.
• In the end, we get a quadrilateral MIST.

∴ A quadrilateral MIST is constructed.