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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

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 mNSRdegrees mRS class=

Respuesta :

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 = [tex]\frac{1}{2}[\text{arc}(NR)+\text{arc}(PQ)][/tex]

             = [tex]\frac{1}{2}(176+50)[/tex]

             = 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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