Please help me with my math

Question

asked Oct 22, 2023 11.8k views

1 Answer

Pablo Valdes · Answer 1 · 2023-10-27T10:07:04+0000

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Let's solve for x and z ~

$\qquad \sf  \dashrightarrow \: z + 68 = 180$

[ they form co - exterior angle pair ]

$\qquad \sf  \dashrightarrow \: z = 180 - 68$

$\qquad \sf  \dashrightarrow \: z = 112 \degree$

now, it's time for x :

First angle z is equal to its vertical opposite angle, and then that angle forms co - interior angle pair with (3x - 28)

$\qquad \sf  \dashrightarrow \: 3x - 28 + 112 = 180$

$\qquad \sf  \dashrightarrow \: 3x + 84 = 180$

$\qquad \sf  \dashrightarrow \: 3x = 180 - 84$

$\qquad \sf  \dashrightarrow \: 3x = 96$

$\qquad \sf  \dashrightarrow \: x = 96 / 3$

$\qquad \sf  \dashrightarrow \: x = 32 \degree$

That's all... let me know if you have questions ~