Question

find the measures of x in parallelogram ABCD​

Answer 1

Answer:

In parallelogram, ABIICD.

So,

Angle A = Angle C (Opposite angles of parallelogram are equal)

=> 3x +15 = 2x +35

=> 3x -2x +15 = 35

=> x = 20°

Also,

Angle A + Angle B = 180° (Angles on the same side of the transversal are supplementary )

3(20) +15 + 2y +5 =180° ( Put value of x)

=> 60 + 15 + 2y + 5 = 180°

=> 2y = 100°

=> y = 50°