Questions: What is the value of x? 67°

What is the value of x? 67°
Transcript text: What is the value of $x$ ? $67^{\circ}$
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Solution

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Solution Steps

Step 1: Sum of angles in a circle

The sum of angles in a circle is 360°.

Step 2: Set up the equation

The angles in the circle are given by 70°, 75°, x+50°, x+17°. So, we have the equation: 70 + 75 + x + 50 + x + 17 = 360

Step 3: Simplify and solve for x

Combine like terms: 212 + 2x = 360 Subtract 212 from both sides: 2x = 360 - 212 2x = 148 Divide both sides by 2: x = 74

Final Answer

The value of x is 74.

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