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)]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5B%5Ctext%7Barc%7D%28NR%29%2B%5Ctext%7Barc%7D%28PQ%29%5D)
= 
= 113°
Since, m∠NSR + m∠RSP = 180° [Linear pair of angles are supplementary]
113° + m∠RSP = 180°
m∠RSP = 180° - 113°
= 67°
Sofia slept 546 miles and was awake for 45% which is 294 of the miles.
You can find this by finding 1%, and that would be 8.4. (You get 1% from dividing 100 from the 100% number.) Then you multiply it by 65 so now you get 546.
2, since 2x 1/3 is 2/3, which is less than 3/4.