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3 years ago

Given the figure, find the values of x and z.

Mathematics

2 answers:

matrenka [14]3 years ago

7 0

Answer:

$z = 62 \\ 6x + 52 = 180 - 62 \\ 6x = 66 \\ x = 11$

Slav-nsk [51]3 years ago

7 0

Answer:

x = 11 , z = 62

Step-by-step explanation:

62° and (6x + 52)° are adjacent angles on a straight line and sum to 180°

62 + 6x + 52 = 180

6x + 114 = 180 ( subtract 114 from both sides )

6x = 66 ( divide both sides by 6 )

x = 11

62° and z° are vertically opposite angles and are congruent , then

z = 62

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