Find the value of y…

Mathematics

2 answers:

Vaselesa [24]2 years ago

7 0

Answer:

y = 94

Step-by-step explanation:

Linear Pair:

The two adjacent angles whose non common arms form a straight line is called linear pair. They add up to 180

2x + 36 = 180 {linear pair}

2x = 180 - 36

2x = 144

Sum of all angles of a n-sided polygon = (n-2)*180

= ( 6-2)*180

= 4 * 180

= 720

y + 144 + 111 + 105 + 165 + 101 = 720

y + 626 = 720

y = 720 - 626

$\sf \boxed{y = 94^ \circ}$

katrin2010 [14]2 years ago

6 0

Answer:

94°

Step-by-step explanation:

2x + 36 = 180 (angles on a straight line)

2x = 180 - 36

2x = 144

2x = 144°

Sum of all angles of a n-sided polygon = (n-2)×180 = ( 6-2)×180

= 4 × 180

= 720

y + 144 + 111 + 105 + 165 + 101 = 720

y + 626 = 720

y = 720 - 626

y=94 °

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