Answer:
z is 111 degrees
Step-by-step explanation:
69 ° and z is a linear pair, therefore:
69 + z = 180
z = 180 - 69
z= 111
Answer:
Pigeonhole Principle
Step-by-step explanation:
From series {1,2......2n} ; we need to select 'n + 1' integers.
Even integers series from above series = {2,4,6..........2(n-1), 2n}
Odd integers series from above series = {1,3,5........2(n-2), 2n-1}
So, we can choose only n odd integers from the series. Hence, if we choose n+1 integers, atleast one of them have to be even integer.
- Eg : n = 5, Series = (1,2,3,4,5,6,7,8,9,10}, Odd series = {1,3,5,7,9}, Even series = {2,4,6,8,10}. If we choose 5 +1 ie 6 integers, there must be one even integer, as there are only 5 total odd integers in series.
Answer:
Angle 1= 58
Angle 2= 64
Angle 3= 58
Step-by-step explanation:
The two smaller triangles are each right triangles and every triangle equals 180 so add 32 degrees and 90 degrees ( 90+32=122) and subtract that from 180 and you get angles 1 and 3 from your isosceles triangle
then you add both angles 1 and 3 from your isosceles triangle which are 58 degrees each (58+58=116) and subtract that from 180 (180-116=64) and you get angle 2
