Answer:
A. 23+x=140
Step-by-step explanation:
The angle addition postulate states that the measure of a larger angle formed by two or more smaller angles placed side by side is the the sum of the smaller angles. The angle addition postulate states that if B is in the interior of AOC , then:
m∠AOB + m∠BOC = m∠AOC.
From the image:
∠NOP = ∠NOQ + ∠QOP
∠NOP = 140, ∠NOQ = x, ∠QOP = 23
substituting:
140 = x + 23
x = 140 - 23 = 117
∠NOQ = 117°
The median of the data set will be 15.5. The data set is in between the 1 to 25.
<h3>What is median?</h3>Median is such a number for the arranged data set in ascending or descending order, such that to its left and to its right belong the same number of observations.
The data set between the number is;
1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25
The value of IQR for data set is;
First Quartile Q1 = 6.5
Second Quartile Q2 = 13
Third Quartile Q3 =19.5
The median of the data set is;
Hence, the median of the data set will be 15.5.
To learn more about median refer:
#SPJ1