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

Mathematics

1 answer:

svp [43]3 years ago

3 0

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°

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