Questions: The diagram shows a triangle. What is the value of y ? y=

The diagram shows a triangle.

What is the value of y ?
y=
Transcript text: The diagram shows a triangle. What is the value of $y$ ? $y=$
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Solution

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Solution Steps

Step 1: Sum of angles in a triangle

The sum of angles in any triangle is 180°. Therefore, the sum of the angles in the given triangle is:

(5y + 13) + 107 + 40 = 180

Step 2: Simplify and solve for y

Simplifying the equation, we have:

5y + 160 = 180

Subtracting 160 from both sides:

5y = 20

Dividing both sides by 5:

y = 4

Final Answer:

The value of y is 4.

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