Question

draw the quadrilateral YOGA, YO=6cm, OG=6cm, Angle O= 55°, Angle G=35°, and angle A=100°​

Answer 1

Answer:

Impossible to construct.

Step-by-step explanation:

The construction of such quadrilateral is impossible because the angles ∠O = 55° and ∠G = 55°

Sum of ∠O + ∠G = 55 + 35 = 90°

And from the data it is clear that in quadrilateral YOGA these angles are consecutive angles.

But we know that sum of any two consecutive angles of quadrilateral is equal to 180°

In our case sum is 90°

Which shows that given quadrilateral is impossible to construct.