QQuestionMathematics
QuestionMathematics
What is the value of $y$ ?
O A. $120^{\circ}$
O B. $40^{\circ}$
○ C. $30^{\circ}$
○ D. $60^{\circ}$
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Answer
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Step 1:I'll solve this step by step using the guidelines you specified:
Step 2:: Analyze the given triangle
- The given angle measurements are $50^{\circ}$ and $100^{\circ}$
- This is a triangle with multiple angle measurements
Step 3:: Recall the triangle angle sum theorem
- In any triangle, the sum of all interior angles must equal $$180^{\circ}
Step 4:: Set up an equation to solve for $y$
- Equation: $$50^{\circ} + 100^{\circ} + y = 180^{\circ}
- Let the unknown angle be y
Step 5:: Solve for $y$
- $$y = 30^{\circ}
- 150^{\circ} + y = 180^{\circ}
Final Answer
The correct answer is C. 30^{\circ}.
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