Angle practice problems - page 14 of 60
an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.We measure the size of an angle in radians or degrees. 1 radian is a quantity that corresponds to the length of 1 arc of the unit circle. A straight angle has a size of 2π rad. In degrees, a full angle is 360°, a right angle is 180°, and a right angle is 90°. 1 degree has 60 degree minutes and one minute has 60 degree seconds.
Number of problems found: 1197
- 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.
- Calculate 8059
Calculate the magnitude of the third interior angle in triangle ABC when alpha = 30 °, beta = 60 °
- The two
The two angles of a triangle are 78° and 82°. So, what is the measure of the remaining third angle?
- The staircase
The staircase has a total height of 3.6 m and forms an angle of 26° with the horizontal. Calculate the length of the whole staircase.
- Angle at the apex
In an isosceles triangle, the angle at the apex is 30° greater than the angle at the base. How big are the internal angles?
- Interior angles
You know the size of the two interior angles of the triangle alpha = 40° and beta = 60°. Calculate the size of the third interior angle.
- A triangle
A triangle has one angle of 63.1°, and the other two are in the ratio of 2:5. What are the measurements of the two angles?
- 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.
- Triangle ABC
Triangle ABC has side lengths m-1, m-2, and m-3. What has to be m to be a triangle a) rectangular b) acute-angled?
- Calculate 71764
The angle at the base of an isosceles triangle is 18 ° larger than the angle at the central vertex. Calculate the size of the interior angles.
- Determine 13541
The alpha angle is twice the beta angle, and the gamma angle is three times the beta angle. Determine the sizes of all interior angles of the alpha, beta, and gamma triangle ABC.
- Two angles 2
Two angles of a triangle have the same measure, and the third one is 45 degrees greater than the measure of the other two. Find the measure of the largest angle in the triangle.
- Isosceles triangle
An isosceles triangle has an angle against the base that measures 55°. What is the size of the angle at the base of an isosceles triangle? (Calculation and procedure)
- Right triangle
A right triangle ABC is given, and c is a hypotenuse. Find the length of the sides a, b, the angle beta if c = 5 and angle alfa = A = 35 degrees.
- Road
A ratio of 1:15 gives the average climb of the road. By what angle does the road moderate climb?
- Calculate 80358
A triangle has interior angles of 58º 20' and 83º 40'. Calculate the magnitude of the third in degrees of angle.
- Straight 30241
The straight road has a rise of 19%. How big is the pitch angle?
- Magnitudes 19623
Calculate the magnitudes of the interior angles of a triangle if you know that these are in a 2:3:5 ratio.
- Calculate 6687
Calculate the sizes of the remaining inner and outer angles. Alpha with comma α '= 140 ° and beta with comma β' = 100 °.
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