Angles in a triangle
In a triangle, the first angle measures a number plus 45°, and the second angle is 30° less than the first angle. The third angle is two times the number more than the first angle. What are the measurements of each angle of the triangle?
Correct answer:
Tips for related online calculators
Do you have a linear equation or system of equations and are looking for its solution? Or do you have a quadratic equation?
See also our right triangle calculator.
See also our trigonometric triangle calculator.
See also our right triangle calculator.
See also our trigonometric triangle calculator.
You need to know the following knowledge to solve this word math problem:
- algebra
- equation
- system of equations
- expression of a variable from the formula
- planimetrics
- right triangle
- triangle
Units of physical quantities:
Grade of the word problem:
We encourage you to watch this tutorial video on this math problem: video1
Related math problems and questions:
- The sum 24
The sum of the three numbers is 80. The first number is 8 less than the third. The second number is 2 times the third. What are the numbers? - Three workshops
2743 people are working in three workshops. In the second workshop works, 140 people more than in the first and in the third works 4.2 times more than the second one. How many people work in each workshop? - Four numbers
I am a four-digit number, no zeros, in which the first number is five times the last, the second is four more than the first and three times the third, and the third is two more than the last and two less than the first. - 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?
- Gasoline canisters
Thirty-five liters of gasoline is to be divided into four canisters so that the third canister will have 5 liters less than the first canister, the fourth canister 10 liters more than the third canister, and the second canister half of that in the first c - Determine 81572
In one triangle, one angle is 43°, and the second is 15° less than the third. Determine the unknown angles of the triangle. - Students 6541
There are a total of 47 pupils in three classes in the rural school. There are 20% more pupils in the first grade than in the second grade and one pupil less in the third grade than in the second grade. How many students are there in each class? - Gasoline
35 l of gasoline is to be divided into four canisters so that in the third canister was 5 l less than the first canister, the fourth canister 10 l more than in the third canister, and the second canister half what in the first canister. How many liters of - Part-time workers
Three part-time workers received CZK 1,235 for their work. The first received 20% less than the second, and the third received 45 CZK more than the second. Determine how many crowns (CZK) each of them received.
- Three days
During the three days, sold in stationery 1490 workbooks. The first day sold workbooks more than the third day. On the second day, 190 workbooks sold in less than the third day. How many workbooks are sold each day? - Aircraft
The plane flies at altitude 6300 m. At the time of the first measurement was to see the elevation angle of 21° and the second measurement of the elevation angle of 46°. Calculate the distance the plane flew between the two measurements. - 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. - Foresters 81919
Foresters planted 2,440 saplings in three days. On the second day, they planted 20% more saplings than on the first day, and on the third day, 15% less than on the first day. How many saplings did the foresters plant each day? - Traveled 7541
The tourist covered 47 km in three days. The first day ran 20 percent more than the second day, and the third day was 4 km less than the second day. How many km has he traveled each day?
- Kilometers 22721
Pupils walked 49 km in three days. The next day they ran 20% more than the first day, and on the third day, they ran 2 km less than the second. How many kilometers have they traveled each day? - Land areas
Two land areas are 244 m². The first parcel is 40 m² less than twice the second one. What has the acreage of each parcel? - 925 USD
Four classmates saved an annual total of 925 USD. The second save twice as the first, the third 35 USD more than the second, and the fourth 10 USD less than the first. How does USD save each of them?