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Zina [86]
2 years ago
6

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

Mathematics
2 answers:
stepan [7]2 years ago
3 0

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°

ankoles [38]2 years ago
3 0

<em>ANSWER</em>

<em>ANSWERm∠NSR = 113°</em>

<em>ANSWERm∠NSR = 113°m∠RSP = 67°</em>

<em>ANSWERm∠NSR = 113°m∠RSP = 67°Step-by-step explanation:</em>

<em>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.</em>

<em>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)] </em>

<em>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</em>

<em>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</em>

<em>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 </em>

<em>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)]</em>

<em>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) </em>

<em>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</em>

<em>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</em>

<em>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 </em>

<em>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)</em>

<em>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°</em>

<em>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]</em>

<em>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°</em>

<em>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°</em>

<em>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°</em><em> </em>

<em>.</em><em>.</em>

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