Angle practice problems - page 14 of 61
Number of problems found: 1206
- Magnitude 23271
In an isosceles triangle, the angle at the primary vertex is 20 ° smaller than twice the magnitude of the angle at the base. What are the interior angles of a triangle?
- Straight 21243
The straight railway line has a gradient of 16 permille. What is the size of the pitch angle?
- Percentage 17613
At a horizontal distance of 800 m, the ski slope drops to 220 m above sea level. Determine the percentage decrease.
- Calculate 11771
The interior angles of the triangle are 108 degrees 45 minutes and 51 degrees 19 minutes. Calculate the outside angle at the third vertex.
- Isosceles 4741
The arm is five times longer than its base in an isosceles triangle. Calculate its interior angles.
- Magnitudes 3304
In triangle ABC, the interior angle at vertex B is 10 degrees greater than the angle at vertex A, and the angle at vertex C is three times greater than the angle at vertex B. Calculate the magnitudes of the interior angles of the triangle.
- Isosceles triangle and cosine
Using the cosine theorem, prove that in an isosceles triangle ABC with base AB, c=2a cos α.
- The sum 18
The sum of the three angles in a triangle is 180°. Find the 3rd angle of a triangle if the 1st and 2nd angles measure 58.3° and 45.5°.
- Main/central vertex
ABC is an isosceles triangle with base BC and central vertex A. The angle at vertex A is 18°. What will be the size of the angle at vertex B?
- Outer angles
The outer angle of the triangle ABC at the A vertex is 71°40 ' outer angle at the vertex B is 136°50'. What size is the inner triangle angle at the vertex C?
- Perimeter of triangle
In the triangle, ABC angle A is 60°, angle B is 90°, and side size c is 15 cm. Calculate the triangle circumference.
- Smallest internal angle
Calculate what size has the smallest internal angle of the triangle if values of angles α:β:γ = 3:4:8
- High wall
I have a wall 2m high. I need a 15-degree angle (upward) to the second wall 4 meters away. How high must the second wall be?
- Triangle angles
In a triangle, ABC, the interior angle at vertex C is twice the internal angle at point A. The outer angle at point B measured 117 degrees. How big is the external angle at vertex A?
- Angles in ratio
The size of the angles of the triangle is in ratio x: y = 7: 5, and the angle z is 42° lower than the angle y. Find the size of the angles x, y, and z.
- Angles in a triangle
The angles of the triangle ABC make an arithmetic sequence with the largest angle γ=83°. What sizes have other angles in a triangle?
- 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.
- Gamma angle
Find the magnitude of the gamma angle in triangle ABC if: α = 38° 56' and β = 47° 54'.
- In triangle 2
In triangle XYZ, if it measures angle X=40° and measures angle Y=75°. Which is the longest side of the triangle, and why?
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