Question

In parallelogram ABCD, angle A=5x-40


and angel C=3x+10, then find the value of X​

Answer 1

In parallelogram opposite angles are equal so

$5x - 40 = =3x + 10 \\ 5x - 3x = 40 + 10 \\ 2x = 50 \\ x = 25$

Answer 2

In parallelogram ABCD,

angle A = angle C (opposite angles of a parallelogram are congruent)

therefore,

5x - 40=3x+10

5x-3x =10+40

2x =50

x =

$\binom{50}{2}$

x=25

Therefore x=25