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choose all that apply.
a. ∠rsp and ∠psq
b. ∠tsq and ∠qst
c. ∠rsp and ∠tsq
d. ∠qsp and ∠psq
e. ∠tsq and ∠psq
f. ∠rst and ∠tsq
g. ∠psr and ∠rsp
thats incorrect.
two angles are supplementary angles if the sum of their measures is 180°. the two sides of a 180° angle form a straight line.

Explanation:

Step1: Recall supplementary - angle definition

Two angles are supplementary if their sum is 180°.

Step2: Analyze each option

• Option A: ∠RSP and ∠PSQ, if they form a straight - line at point S, they are supplementary.
• Option B: ∠TSQ and ∠QST are the same angle, not supplementary.
• Option C: ∠RSP and ∠TSQ, no information shows they sum to 180°.
• Option D: ∠QSP and ∠PSQ are the same angle, not supplementary.
• Option E: ∠TSQ and ∠PSQ, if they form a straight - line at point S, they are supplementary.
• Option F: ∠RST and ∠TSQ, no information shows they sum to 180°.
• Option G: ∠PSR and ∠RSP, if they form a straight - line at point S, they are supplementary.

Answer:

A. ∠RSP and ∠PSQ, E. ∠TSQ and ∠PSQ, G. ∠PSR and ∠RSP