Question

Solve for the angles below. Assume that segments that appear to be tangent are tangent. Round your final answers to the nearest tenth, if necessary.
m∠NSR=______degrees
m∠RSP=______degrees

Answer 1

Answer:

m∠NSR = 113°

m∠RSP = 67°

Step-by-step explanation:

Angle formed between the intersecting chords is one half the sum of the measures of the arcs intercepted by the angles.

m∠NSR = $\frac{1}{2}[\text{arc}(NR)+\text{arc}(PQ)]$

             = $\frac{1}{2}(176+50)$

             = 113°

Since, m∠NSR + m∠RSP = 180° [Linear pair of angles are supplementary]

113° + m∠RSP = 180°

m∠RSP = 180° - 113°

             = 67°

Answer 2

ANSWER

ANSWERm∠NSR = 113°

ANSWERm∠NSR = 113°m∠RSP = 67°

ANSWERm∠NSR = 113°m∠RSP = 67°Step-by-step explanation:

ANSWERm∠NSR = 113°m∠RSP = 67°Step-by-step explanation:Angle formed between the intersecting chords is one half the sum of the measures of the arcs intercepted by the angles.

ANSWERm∠NSR = 113°m∠RSP = 67°Step-by-step explanation:Angle formed between the intersecting chords is one half the sum of the measures of the arcs intercepted by the angles.m∠NSR = \frac{1}{2}[\text{arc}(NR)+\text{arc}(PQ)]

ANSWERm∠NSR = 113°m∠RSP = 67°Step-by-step explanation:Angle formed between the intersecting chords is one half the sum of the measures of the arcs intercepted by the angles.m∠NSR = \frac{1}{2}[\text{arc}(NR)+\text{arc}(PQ)] 2

ANSWERm∠NSR = 113°m∠RSP = 67°Step-by-step explanation:Angle formed between the intersecting chords is one half the sum of the measures of the arcs intercepted by the angles.m∠NSR = \frac{1}{2}[\text{arc}(NR)+\text{arc}(PQ)] 21

ANSWERm∠NSR = 113°m∠RSP = 67°Step-by-step explanation:Angle formed between the intersecting chords is one half the sum of the measures of the arcs intercepted by the angles.m∠NSR = \frac{1}{2}[\text{arc}(NR)+\text{arc}(PQ)] 21

ANSWERm∠NSR = 113°m∠RSP = 67°Step-by-step explanation:Angle formed between the intersecting chords is one half the sum of the measures of the arcs intercepted by the angles.m∠NSR = \frac{1}{2}[\text{arc}(NR)+\text{arc}(PQ)] 21 [arc(NR)+arc(PQ)]

ANSWERm∠NSR = 113°m∠RSP = 67°Step-by-step explanation:Angle formed between the intersecting chords is one half the sum of the measures of the arcs intercepted by the angles.m∠NSR = \frac{1}{2}[\text{arc}(NR)+\text{arc}(PQ)] 21 [arc(NR)+arc(PQ)] = \frac{1}{2}(176+50)

ANSWERm∠NSR = 113°m∠RSP = 67°Step-by-step explanation:Angle formed between the intersecting chords is one half the sum of the measures of the arcs intercepted by the angles.m∠NSR = \frac{1}{2}[\text{arc}(NR)+\text{arc}(PQ)] 21 [arc(NR)+arc(PQ)] = \frac{1}{2}(176+50) 2

ANSWERm∠NSR = 113°m∠RSP = 67°Step-by-step explanation:Angle formed between the intersecting chords is one half the sum of the measures of the arcs intercepted by the angles.m∠NSR = \frac{1}{2}[\text{arc}(NR)+\text{arc}(PQ)] 21 [arc(NR)+arc(PQ)] = \frac{1}{2}(176+50) 21

ANSWERm∠NSR = 113°m∠RSP = 67°Step-by-step explanation:Angle formed between the intersecting chords is one half the sum of the measures of the arcs intercepted by the angles.m∠NSR = \frac{1}{2}[\text{arc}(NR)+\text{arc}(PQ)] 21 [arc(NR)+arc(PQ)] = \frac{1}{2}(176+50) 21

ANSWERm∠NSR = 113°m∠RSP = 67°Step-by-step explanation:Angle formed between the intersecting chords is one half the sum of the measures of the arcs intercepted by the angles.m∠NSR = \frac{1}{2}[\text{arc}(NR)+\text{arc}(PQ)] 21 [arc(NR)+arc(PQ)] = \frac{1}{2}(176+50) 21 (176+50)

ANSWERm∠NSR = 113°m∠RSP = 67°Step-by-step explanation:Angle formed between the intersecting chords is one half the sum of the measures of the arcs intercepted by the angles.m∠NSR = \frac{1}{2}[\text{arc}(NR)+\text{arc}(PQ)] 21 [arc(NR)+arc(PQ)] = \frac{1}{2}(176+50) 21 (176+50) = 113°

ANSWERm∠NSR = 113°m∠RSP = 67°Step-by-step explanation:Angle formed between the intersecting chords is one half the sum of the measures of the arcs intercepted by the angles.m∠NSR = \frac{1}{2}[\text{arc}(NR)+\text{arc}(PQ)] 21 [arc(NR)+arc(PQ)] = \frac{1}{2}(176+50) 21 (176+50) = 113°Since, m∠NSR + m∠RSP = 180° [Linear pair of angles are supplementary]

ANSWERm∠NSR = 113°m∠RSP = 67°Step-by-step explanation:Angle formed between the intersecting chords is one half the sum of the measures of the arcs intercepted by the angles.m∠NSR = \frac{1}{2}[\text{arc}(NR)+\text{arc}(PQ)] 21 [arc(NR)+arc(PQ)] = \frac{1}{2}(176+50) 21 (176+50) = 113°Since, m∠NSR + m∠RSP = 180° [Linear pair of angles are supplementary]113° + m∠RSP = 180°

ANSWERm∠NSR = 113°m∠RSP = 67°Step-by-step explanation:Angle formed between the intersecting chords is one half the sum of the measures of the arcs intercepted by the angles.m∠NSR = \frac{1}{2}[\text{arc}(NR)+\text{arc}(PQ)] 21 [arc(NR)+arc(PQ)] = \frac{1}{2}(176+50) 21 (176+50) = 113°Since, m∠NSR + m∠RSP = 180° [Linear pair of angles are supplementary]113° + m∠RSP = 180°m∠RSP = 180° - 113°

ANSWERm∠NSR = 113°m∠RSP = 67°Step-by-step explanation:Angle formed between the intersecting chords is one half the sum of the measures of the arcs intercepted by the angles.m∠NSR = \frac{1}{2}[\text{arc}(NR)+\text{arc}(PQ)] 21 [arc(NR)+arc(PQ)] = \frac{1}{2}(176+50) 21 (176+50) = 113°Since, m∠NSR + m∠RSP = 180° [Linear pair of angles are supplementary]113° + m∠RSP = 180°m∠RSP = 180° - 113° = 67°

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