Answer: ∠1 = 109° ∠2 = 71°
<u>Step-by-step explanation:</u>
If the two angles form a linear pair, then their sum is 180°
∠1 + ∠2 = 180°
(5x + 9) + (3x + 11) = 180
8x + 20 = 180
8x = 160
x = 20
∠1 = 5x + 9
= 5(20) + 9
= 100 + 9
= 109
∠2 = 3x + 11
= 3(20) + 11
= 60 + 11
= 71
<u> CHECK:</u>
∠1 + ∠2 = 180°
109° + 71° = 180°
180° = 180° 
for the first term:
n= 1 there is 1 item
n=2 there are 2+1 = 3 items
n = 3 there are 3+2+1 = 3+2 = 6 items
n = 4 there are 4+3+2+1 = 4+6 = 10 items
We are adding the "n" term each time
n = 5 10+5 = 15
n= 6 15+6 = 21
n = 7 21+7 = 28
n = 8 28+8 = 36
There would be 36 items in the 8th step
Answer:
The correct option is D
66°
Step-by-step explanation:
Given that ∠PTQ ≅ ∠RTS
The measure of the arc SR = 66°
So ∠RTS = 66°
But also, ∠PTQ ≅ ∠RTS
Therefore ∠PTQ = 66°
and the measure of the arc PQ = ∠PTQ
Therefore, measure of the arc PQ is 66°.
I only know A, I’m sorry but I hope it helps.
A) because the highlighted arc is bigger than a semicircle you already know that it’s a major arc, because a minor arc will always be smaller than a semicircle.
A) Major arc
The answer to the question
