What is the value of X
2 answers:
<h2>Hello!</h2>
The answer is:
The missing angle "x" is equal to 130°.
<h2>Why?</h2>We need to remember that the sum of all of the angles of any polygon will be all equal to 360°.
So, we are given the following exterior angles:
Now, if the sum of all the exterior angles is equal to 360°, we can use it to calculate "x", so:
Hence, the missing angle "x" is equal to 130°.
Have a nice day!
You might be interested in
Answer:
108 th term is zero
Step-by-step explanation:
The nth term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₉ = 99 and a₉₉ = 9 then
a₁ + 8d = 99 → (1)
a₁ + 98d = 9 → (2)
Subtract (1) from (2) term by term to eliminate a₁
0 + 90d = - 90
90d = - 90 ( divide both sides by 90 )
d = - 1
Substitute d = - 1 into (1) for value of a₁
a₁ + 8(- 1) = 99
a₁ - 8 = 99 ( add 8 to both sides )
a₁ = 107
Then
107 - (n - 1) = 0
107 - n + 1 = 0
- n + 108 = 0 ( subtract 108 from both sides )
- n = - 108 ( multiply both sides by - 1 )
n = 108
The 108th term is zero