# Angles of a triangle

In triangle ABC, the angle beta is 15° greater than the angle alpha. The remaining angle is 30° greater than the sum of the angles alpha and beta. Calculate the angles of a 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 trigonometric triangle calculator.

See also our trigonometric triangle calculator.

### You need to know the following knowledge to solve this word math problem:

### 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:

- Right triangle trigonometrics

Calculate the size of the remaining sides and angles of a right triangle ABC if it is given: b = 10 cm; c = 20 cm; angle alpha = 60°, and the angle beta = 30° (use the Pythagorean theorem and functions sine, cosine, tangent, cotangent) - Calculate 82472

Calculate the interior angles of the triangle. The angle alpha is 16° greater than beta, and the angle gamma is 17° less than alpha. - Difference 2435

Calculate the sum and difference of the alpha and beta angles. Alpha = 60 ° 30 ', beta = 29 ° 35'. - In triangle

In triangle ABC, the magnitude of the internal angle gamma is equal to one-third of the angle alpha. The size of the angle beta is 80 degrees larger than the size of the gamma angle. Calculate the magnitudes of the interior angles of the triangle ABC.

- Angles of the triangle

ABC is a triangle. The size of the angles alpha and beta are in a ratio of 4:7. The angle gamma is greater than the angle alpha by a quarter of a straight angle. Determine angles of the triangle ABC. - The triangles

The triangles ABC and A'B'C 'are similar, with a similarity coefficient of 2. The angles of the triangle ABC are alpha = 35° and beta = 48°. Determine the magnitudes of all angles of triangle A'B'C '. - Calculate 6687

Calculate the sizes of the remaining inner and outer angles. Alpha with comma α '= 140 ° and beta with comma β' = 100 °.