Find the measure of
1 answer:
You might be interested in
<u>Given</u>:
Given that the measure of arc MN is (9x - 43)°
The measure of arc NP is (5x + 33)°
We need to determine the measure of arc MP
<u>Value of x:</u>
From the figure, it is obvious that MN is perpendicular to R and NP is perpendicular to R, then their chords are congruent.
Since, the chords are congruent, then their arcs MN and NP are congruent.
Thus, we have;
Thus, the value of x is 19.
<u>Measure of arcs MN and NP:</u>
The measures of arcs MN and NP can be determined by substituting x = 19.
Thus, we have;
Thus, the measure of arc MN is 128° and the measure of arc NP us 128°
<u>Measure of arc MP:</u>
The measure of arc MP is given by
Thus, the measure of arc MP is 104°