The sum of the inside angles of a 6 sides figure is 720
Add the known angles together:
90 + 112 + 131 + 154 + 118 = 605
Subtract the sum of the known angles from 720 for x:
x = 720 - 605 = 115
x = 115 degrees.
The probability of choosing two yellow marbles = 5/26
Step-by-step explanation:
Step 1 :
Given
Total number of marbles in the bag = 13 marbles
Number of yellow marbles = 6.
We choose 2 marbles from the bag without replacing and need to determine the probability that both are yellow.
Step 2 :
Probability of finding yellow marble in the first try = Number of yellow marbles / Total number of marbles = 
Once the yellow marble is selected we have 5 yellow marbles among 12 remaining marbles in the bag.
Probability of finding yellow marble in the second try = Number of yellow marbles / Total number of marbles = 
Step 3:
P(yellow in first 2 tries) = P(yellow in first try) * P(yellow in second try)
P(yellow in first 2 tries) =
= 
Step 4:
Answer:
The probability of choosing two yellow marbles = 5/26
We have to find midpoint M of the diagonal AC (or BD, there is no difference) so: