Question

consider the parrelogramABCD .find the values of x,y,zif one angle is 100​

Answer 1

I am assuming x, y and z are all the remaining angles of the parallelogram.

If one angle is 100°, the angle opposite to it will be equal to a 100° (Because vertically opposite angles in a parallelogram are equal)

Say x = 100°

We know two angles are 100 and 100(= x) degrees each. Now since vertically opposite angles are equal (as mentioned above), we can add all of the angles = 360° (angles of a parallelogram sum to 360°)

So,

x + y + z + 100= 360

X = 100° and y° = z° (vertically opposite angles)

We get,

100+100+y+y=360

100+100+2y=360 (or you can use z+z since both are equal)

Simplifying we get y = 80° and so z = 80°

Angles: x = 100°, y = z = 80°