question 33 of 40

if $\angle a = 28^\circ$, what must the measure of $\angle d$ be in order for $\delta abc$ to be similar to $\delta def$?

a. $28^\circ$
b. $31^\circ$
c. $62^\circ$
d. $14^\circ$

Question

question 33 of 40

if $\angle a = 28^\circ$, what must the measure of $\angle d$ be in order for $\delta abc$ to be similar to $\delta def$?

a. $28^\circ$
b. $31^\circ$
c. $62^\circ$
d. $14^\circ$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "Similar Triangles", "Triangle Angle Sum Theorem" ], "new_concepts": [], "current_concepts": [ "Similar Triangles", "Triangle Angle Sum Theorem", "Right Triangles" ] } ## Identify corresponding angles in similar triangles $$ \Delta ABC \sim \Delta DEF \implies \angle D = \angle A $$ ## Determine the measure of the target angle $$ \begin{aligned} &\angle A = 28^\circ \ &\angle D = 28^\circ \end{aligned} $$

(A) $28^\circ$

(B) $31^\circ$

(C) $62^\circ$

(D) $14^\circ$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Similar Triangles" ] }

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Question

Explanation:

Identify corresponding angles in similar triangles

Determine the measure of the target angle

Answer: