find the value of $x$.

$x = ?^\circ$

Question

find the value of $x$.

$x = ?^\circ$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Inscribed Angle Theorem" ], "new_concepts": [], "current_concepts": [ "Inscribed Angle Theorem", "Inscribed Right Triangle Theorem", "Triangle Angle Sum Theorem" ] } ## Identify the angle subtended by the diameter $$ x + y = 90^\circ $$ ## Calculate the inscribed angle y $$ y = \frac{1}{2} \cdot 148^\circ = 74^\circ $$ ## Solve for x $$ x = 90^\circ - 74^\circ = 16^\circ $$ Find the value of x. $x =$ 16$^\circ$ { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Inscribed Angle Theorem" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the angle subtended by the diameter

Calculate the inscribed angle y

Solve for x

Answer: