Question

if the two opposite angles are a parallelogram are in the (2x+3) and (5x+1) . find all the angles​

Answer 1

Answer:

in parallelogram, opposite angles are equal

then,

2x+3=5x+1

2x-5x=1-3

-3x=-2

x=-2/-3

=2/3

angle ABC=2×2/3+3

=4/3+3

=4+9/3

=13/3=4.3°

therefore, angle ABC= angle ADC=4.3°

angle ABC+angle ADC+ angle BCD+ angle BAD=360°

4.3°+4.3°+x+x=360°

8.6°+2x=360°

2x=360-8.6=351.4

2x=351.4

x=351.4/2=175.7°

angle BCD= angle BAD=175.7°