Find Arc RU. How would you solve this. Please do step by step.
1 answer:
Answer:
arc RU is 149°
Step-by-step explanation:
Use the Intersecting cords theorem : the measure of the angle is half the sum of the intercepted arcs and the supplementary angle rule.
Angle RVS is given as 88° so subtracting from 180 to get the supplement, we get the measure of angle RVU is 92° That is the Angle that intercepts the arc RU
Use the intersecting chord and intercepted angle formula to set up the equation, let x be the unknown measure of arc RU. The other intercepted Arc ST is given: 35°
solve for x.
92 ×2= x+35
184 = x+ 35
184 -35 = x . x = 149 . That means Arc RU measures 149°
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