System of equations + angle - practice problems - page 3 of 4
Number of problems found: 78
- Parallelogram 6288
Find the interior angles of the parallelogram if you know that one of them is 50 degrees larger than the other. - Largest angle of the triangle
Calculate the largest angle of the triangle whose sides have the sizes: 2a, 3/2a, 3a - Three points 2
The three points are A(3, 8), B(6, 2), and C(10, 2). Point D is such that the line DA is perpendicular to AB, and DC is parallel to AB. Calculate the coordinates of D. - Inscribed circle
Calculate the magnitude of the BAC angle in triangle ABC if it is three times less than the angle BOC, where O is the center of the circle inscribed in triangle ABC.
- Triangle 5851
In a triangle, the first angle is half the second angle, and the third angle is the third of the first angle. How big are the angles in a triangle, and what is the type of triangle? - Intersection 5413
In the acute triangle KLM, the angle KLM is 68°. Point V is the intersection of the altitudes, and P is the foot of the altitude on the side LM. The angle P V M axis is parallel to the side KM. Compare the sizes of angles MKL and LMK. - 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. - 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? - Garage
There are two laths in the garage opposite one another: one 2 meters long and the second 3 meters long. They fall against each other and stay against the opposite walls of the garage. Both laths cross 70 cm above the garage floor. How wide is the garage?
- Angles
In the triangle ABC, the ratio of angles is α:β = 4:5. The angle γ is 36°. How big are the angles α and β? - Calculate 5148
At a distance of 10 m from the river bank, they measured the base AB = 50 m parallel to the bank. Point C on the other bank of the river is visible from point A at an angle of 32°30' and from point B at an angle of 42°15'. Calculate the width of the river - Angles ratio
The internal angles of a triangle are in ratio 1:4:5. What kind of triangle is it? (solve interior angles and write down and discuss) - Difference 4050
Calculate the size of the interior angles of a triangle if the size of the second angle is 120 degrees less than twice the size of the first angle and the size of the third angle is equal to the difference between the sizes of the first and second angles. - Calculate 4013
In a triangle, one internal angle measures 36 degrees. The second angle is twice the third angle. Calculate unknown angles.
- Angle in RT
Determine the size of the smallest internal angle of a right triangle whose sides constitute the sizes of consecutive members of arithmetic progressions. - Angle
Determine the size of the smallest internal angle of a right triangle which angles forming the successive members of the arithmetic sequence. - Alfa beta gama
The triangle's interior angle beta is 10 degrees greater than the angle alpha, and the gamma angle is three times larger than the beta. Determine the size of the interior angles. - Internal angles
Find the internal angles of the triangle ABC if the angle at the vertex C is twice the angle at the B and the angle at the vertex B is 4 degrees smaller than the angle at vertex A. - Right-angled 3511
In a right-angled triangle at vertex C, the alpha angle is 24 degrees smaller than the beta angle to determine the size of the triangle angles.
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