Question

Which of the following options represent the measure of arc ra ?

Answer 1

Explanation

For the given question, we will have to apply the rule for lines intersecting inside a circle

We will simply apply the rule

$m Where[tex]\begin{gathered} mPK=2\times32.8=65.6^0 \\ mWe can now get the value of the measure of arc RA

[tex]\begin{gathered} 71.4^0=\frac{1}{2}(mRA+65.6^0) \\ cross\text{ multiplying} \\ 2\times71.4^0=mRA+65.6 \\ \\ mRA=142.8^0-65.6^0 \\ mRA=77.2^0 \end{gathered}$

Thus, the measure of the arc RA is 77.2 degrees

Option D is correct