Question

Find Arc RU. How would you solve this. Please do step by step.

Answer 1

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°

$92=\frac{x+35}{2}$  solve for x.

92 ×2= x+35

184 = x+ 35

184 -35 = x .    x = 149 .  That means Arc RU measures 149°