# Angle

Determine the size of the smallest internal angle of a right triangle which angles forming the successive members of the arithmetic sequence.

Result

a =  30 °

#### Solution:

a+b+c=180
c = 90
b-a = c-b

a+b+c = 180
c = 90
a-2b+c = 0

a = 30
b = 60
c = 90

Calculated by our linear equations calculator.

Leave us a comment of example and its solution (i.e. if it is still somewhat unclear...): Be the first to comment! #### To solve this example are needed these knowledge from mathematics:

Do you have a linear equation or system of equations and looking for its solution? Or do you have quadratic equation? See also our right triangle calculator. See also our trigonometric triangle calculator.

## Next similar examples:

1. Trapezium internal angles A trapezium where AB is parallel to CD, has angle A : angle D = 4 :5, angle B = 3x-15 and angle C = 4x+20. Find angle A, B, C and D.
2. Largest angle of the triangle What is the largest angle of the triangle if the second angle is 10° greater than twice the first and the third is 30° smaller than the second?
3. In a 2 In a thirteen sided polygon, the sum of five angles is 1274°, four of the eight angles remaining are equal and the other four are 18° less than each of the equal angles. Find the angles. .
4. Ball game Richard, Denis and Denise together scored 932 goals. Denis scored 4 goals over Denise but Denis scored 24 goals less than Richard. Determine the number of goals for each player.
5. AS sequence In an arithmetic sequence is given the difference d = -3 and a71 = 455. a) Determine the value of a62 b) Determine the sum of 71 members.
6. AP - basics Determine first member and differentiate of the the following sequence: a3-a5=24 a4-2a5=61
7. Theorem prove We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
8. Sequence 3 Write the first 5 members of an arithmetic sequence: a4=-35, a11=-105.
9. Sequence Between numbers 1 and 53 insert n members of the arithmetic sequence that its sum is 702.
10. Seats Seats in the sport hall are organized so that each subsequent row has five more seats. First has 10 seats. How many seats are: a) in the eighth row b) in the eighteenth row
11. Linsys2 Solve two equations with two unknowns: 400x+120y=147.2 350x+200y=144
12. AP 6 Calculate the first five items of an arithmetic sequence if it is given: a2 – a3 + a5 = 20 a1 + a6 = 38
13. Men, women and children On the trip went men, women and children in the ratio 2:3:5 by bus. Children pay 60 crowns and adults 150. How many women were on the bus when a bus was paid 4,200 crowns?
14. Difference AP 4 Calculate the difference of the AP if a1 = 0.5, a2 + a3 = -1.1
15. Tubes Iron tubes in the warehouse are stored in layers so that each tube top layer fit into the gaps of the lower layer. How many layers are needed to deposit 100 tubes if top layer has 9 tubes? How many tubes are in bottom layer of tubes?
16. Warehouses In the three warehouses, a total of 70 tons of grain was stored. In the second warehouse was stored 8.5t less and in the third 3.5t more than in the first. How many tons of grain was stored in each warehouse?
17. Null points Calculate the roots of the equation: ?