14.2k views
2 votes
What is the value of x?
72
84
96
252
helpppp please

What is the value of x? 72 84 96 252 helpppp please-example-1

2 Answers

6 votes

Answer:72

Explanation:

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User Pankajt
by
7.9k points
2 votes

Answer: 72

Explanation:

We know that the sum of all exterior angles of a polygon is 360°.

Therefore, by the given picture, we have


(x+12)^(\circ)+57^(\circ)+108^(\circ)+60^(\circ)+51^(\circ)=360^(\circ)\\\\\Rightarrow x+288^(\circ)=360^(\circ)\\\\\Rightarrow\ x=360^(\circ)-288^(\circ)\\\\\Rightarrow\ x=72^(\circ)

Hence, the value of
=72

User Maliha
by
8.0k points