Question

Please help me with my math

Answer 1

$\sf{\qquad\qquad\huge\underline{{\sf Answer}}}$

Let's solve for z and x ~

$\qquad \sf  \dashrightarrow \: 82 + z = 180$

[ they form co-interior angle pair ]

$\qquad \sf  \dashrightarrow \: z = 180 - 82$

$\qquad \sf  \dashrightarrow \: z = 98 \degree$

and

$\qquad \sf  \dashrightarrow \: z = (5x - 82)$

[ by Alternate interior angle pair ]

$\qquad \sf  \dashrightarrow \: 98 = 5x - 82$

$\qquad \sf  \dashrightarrow \: 5x = 98 + 82$

$\qquad \sf  \dashrightarrow \: 5x = 180$

$\qquad \sf  \dashrightarrow \: x = 180 \div 5$

$\qquad \sf  \dashrightarrow \: x = 36 \degree$

Answer 2

Answer:

z = 98

x= 36

Step-by-step explanation:

z + 82 = 180 -> due to same side interior angles adding up to 180

z = 180 - 82

z = 98

z = 5x - 82 due to opposite interior angles being equal

98 = 5x - 82

98+82 = 5x - 82+82

180 = 5x

180/5 = 5x/5

36 = x

To check:

z = 5x - 82

(98) = 5(36) - 82

98 = 180 - 82