Question

what do we require to construct a quadrilateral if measures of three angles are ​

Answer 1

Answer:

Complete your question

Step-by-step explanation:

Answer 2

Answer:

Hey! here is your answer..

Step-by-step explanation:

It depends all over the question..

But if you have to construct a quadrilateral if measures of three angles are given then you will use-

Sum of interior angles of a quadrilateral= 360 degree

So, we will sum up all the measure of given three angles and will subtract their sum with 360 degrees; after this process you will surely get the measure of fourth angle of the given quadrilateral....

After you get the measure of fourth angle , you have the measure of all the angles of the given quadrilateral; then it will be very easy for you construct the quadrilateral...

Example:

Question. In a quadrilateral ABCD the measures of angle a, b and c are 120 degrees, 30 degrees, and 10 degrees respectively; then construct the given quadrilateral...

Answer- WE know that

Let angle d be x degree

Sum of interior angles of a quadrilateral= 360 degrees..

So, angle a+ angle b+ angle c+ angle d= 360 degrees

So, 120 degrees+ 30 degrees+ 10 degrees+ x degrees= 360 degrees

160 degrees+ x degrees= 360 degrees

x degrees= 360 degrees- 160 degrees

x degrees= 200 degrees..

Hence, now we can draw a quadrilateral with the angle measure as 120 degrees, 30 degrees, 10 degrees and 200 degrees...

Hope, it had helped you......