Question

Help i’m begging plsss

Answer 1

Answer:

$x=8$

Step-by-step explanation:

Given

$AB||CD$

$\angle ABC = 5x + 50$

$\angle BCD = 7x + 34$

Required

Find x

If $AB||CD$ i.e. If AB is parallel to CD, then

$\angle ABC = \angle BCD$

Substitute values for ABC and BCD

$5x + 50 = 7x + 34$

Collect Like Terms

$5x - 7x = -50 + 34$

$-2x = -16$

Multiply through by $-\frac{1}{2}$

$-\frac{1}{2} * -2x = -16 * -\frac{1}{2}$

$\frac{1}{2} * 2x = 16 * \frac{1}{2}$

$\frac{2x}{2} = \frac{16}{2}$

$x = \frac{16}{2}$

$x=8$