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

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°

d. bc = 12 and ef = 16

step-by-step explanation:

we are given that δabc : δdef such that .

also, it is given that

so, from the options, we need that .

a.

b.

c.  

d.

as, we can see that only option d gives the same ratio as i.e. .

hence, the possible lengths are bc = 12 and ef = 16.

the answer is d

hope this