On circle O above the measure of arc SV is 120 degrees. What is the measure of arc VU.

Given:

On circle O, the measure of arc SV is 120° and m∠STU = 82°

We need to determine the measure of arc VU

Measure of arc VU:

The measure of arc VU can be determined using the inscribed angle theorem.

Thus, we have;

The measure of SU is SU = SV + VU

Using this in the above formula, we get;

Substituting m∠STU = 82° and , we have;

Hence, the measure of arc VU is 44°

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation: