find the complementary angle of $38\frac{1}{2}^{\circ}$.

the complementary angle of $38\frac{1}{2}^{\circ}$ is $\square^{\circ}$.
(simplify your answer. type an integer, fraction, or mixed number.)

Question

find the complementary angle of $38\frac{1}{2}^{\circ}$.

the complementary angle of $38\frac{1}{2}^{\circ}$ is $\square^{\circ}$.
(simplify your answer. type an integer, fraction, or mixed number.)

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "blank_filling_formatter", "explain_then_answer", "tutor", "mastery_adaptive_brevity" ], "needs_drawing": false, "concepts_used": [ "Complementary Angles" ], "new_concepts": [], "current_concepts": [ "Complementary Angles" ] } ## Define complementary angles Using the *Complementary Angles* knowledge point $$ \theta_1 + \theta_2 = 90^\circ $$ ## Set up the equation Using the *Complementary Angles* knowledge point $$ 38\frac{1}{2}^\circ + x = 90^\circ $$ ## Solve for the unknown angle Using the *Complementary Angles* knowledge point $$ \begin{aligned} x &= 90 - 38\frac{1}{2} \ x &= 89\frac{2}{2} - 38\frac{1}{2} \ x &= 51\frac{1}{2} \end{aligned} $$ The complementary angle of $38\frac{1}{2}^\circ$ is $51\frac{1}{2}$$^\circ$. { "subject": "Mathematics", "question_type": "Fill-in-the-blank", "knowledge_point": [ "Mathematics", "Geometry", "Complementary Angles" ] }

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Question

Explanation:

Define complementary angles

Set up the equation

Solve for the unknown angle

Answer: