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Question I need help with:

Question I need help with:-example-1

2 Answers

6 votes

Answer:

x=12

Explanation:

All of those angles together = 360

So x+74 + x+77 + x+ 62 + x + 99 = 360

Let's simplify that:

4x + 312 = 360

4x = 360-312

4x = 48

x = 48/4

x = 12

User Gabe Karkanis
by
7.1k points
2 votes

Answer:

x = 12

Explanation:

Given interior angles,

→ x + 77°

→ x + 74°

→ x + 62°

→ x + 99°

Now we have to,

→ Find the required value of x.

We know that,

→ Sum of interior angles in a circle is 360°.

Forming the equation,

→ (x + 77) + (x + 74) + (x + 62) + (x + 99) = 360

Then the value of x will be,

→ (x + 77) + (x + 74) + (x + 62) + (x + 99) = 360

→ (x + x + x + x) + (77 + 74 + 62 + 99) = 360

→ 4x + 312 = 360

→ 4x = 360 - 312

→ 4x = 48

→ x = 48/4

→ [ x = 12 ]

Hence, the value of x is 12.

User Lscmaro
by
8.1k points

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