identify the pairs of supplementary angles.

choose all that apply:
a. $\angle srq$ and $\angle qrs$
b. $\angle srq$ and $\angle prq$
c. $\angle prt$ and $\angle trp$
d. $\angle trp$ and $\angle srq$
e. $\angle qrp$ and $\angle prq$
f. $\angle trp$ and $\angle prq$
g. $\angle trs$ and $\angle srq$
h. $\angle trs$ and $\angle trp$

Question

identify the pairs of supplementary angles.

choose all that apply:
a. $\angle srq$ and $\angle qrs$
b. $\angle srq$ and $\angle prq$
c. $\angle prt$ and $\angle trp$
d. $\angle trp$ and $\angle srq$
e. $\angle qrp$ and $\angle prq$
f. $\angle trp$ and $\angle prq$
g. $\angle trs$ and $\angle srq$
h. $\angle trs$ and $\angle trp$

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [], "new_concepts": [ "Supplementary Angles", "Linear Pairs" ], "current_concepts": [ "Supplementary Angles", "Linear Pairs", "Adjacent Angles" ] } ## Identify angle measures from the diagram $$ \begin{aligned} &m\angle TRS = 150^\circ \ &m\angle SRQ = 30^\circ \ &m\angle PRQ = 150^\circ \ &m\angle TRP = 30^\circ \end{aligned} $$ ## Evaluate the sum of each given pair $$ \begin{aligned} &\text{A. } \angle SRQ \text{ and } \angle QRS \implies \text{Same angle (not a pair)} \ &\text{B. } m\angle SRQ + m\angle PRQ = 30^\circ + 150^\circ = 180^\circ \quad (\text{Supplementary}) \ &\text{C. } \angle PRT \text{ and } \angle TRP \implies \text{Same angle (not a pair)} \ &\text{D. } m\angle TRP + m\angle SRQ = 30^\circ + 30^\circ = 60^\circ \ &\text{E. } \angle QRP \text{ and } \angle PRQ \implies \text{Same angle (not a pair)} \ &\text{F. } m\angle TRP + m\angle PRQ = 30^\circ + 150^\circ = 180^\circ \quad (\text{Supplementary}) \ &\text{G. } m\angle TRS + m\angle SRQ = 150^\circ + 30^\circ = 180^\circ \quad (\text{Supplementary}) \ &\text{H. } m\angle TRS + m\angle TRP = 150^\circ + 30^\circ = 180^\circ \quad (\text{Supplementary}) \end{aligned} $$ ## Select all supplementary pairs $$ \text{Supplementary pairs: B, F, G, H} $$

A. $\angle SRQ$ and $\angle QRS$

B. $\angle SRQ$ and $\angle PRQ$

C. $\angle PRT$ and $\angle TRP$

D. $\angle TRP$ and $\angle SRQ$

E. $\angle QRP$ and $\angle PRQ$

F. $\angle TRP$ and $\angle PRQ$

G. $\angle TRS$ and $\angle SRQ$

H. $\angle TRS$ and $\angle TRP$

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Geometry", "Supplementary Angles" ] }

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QUESTION IMAGE

Question

Explanation:

Identify angle measures from the diagram

Evaluate the sum of each given pair

Select all supplementary pairs

Answer: