# Angle calculator

The Angle Calculator allows conversions of the angles entered in degrees, minutes, and seconds to the decimal number, radians back and forth. It is also possible to evaluate simple numerical operations - an addition of angles, subtracting angles, angle normalization to interval <0,360°> or <-180°,180°>, etc. Degrees (°), minutes ('), seconds (") to decimal degrees angle converter and back. Enter the angle in degrees, minutes, and seconds, and press the Convert button. Angle units - do not mix with time seconds, minutes, or temperature degrees Celsius or °F.### Practice problems:

60°15'45" pi/2 55.5 5 min + 16 min 3/2 pi 60° + 45" -12' pi/2 + 60° 5 rad + 45°50' 3 * 12pi pi/2 - pi/3 -pi/2 3*360 60°15'45" - 15'

## Angle word problems:

- Angles 1

Is it true that adjacent angles have common arm? - Reference angle

Find the reference angle of each angle: - Obtuse angle

Which obtuse angle is creating clocks at 17:00? - Degrees to radians

Convert magnitude of the angle α = 502°47'25" to radians: - Neighbor angle

For 136° angle, calculate the size of the adjacent angle on one side of a straight line. - O'clock 78004

What is the degree angle made by the hands of a clock when it points to 8 o'clock? - 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 '. - On Sunday

On Sunday, the temperature reached a high of 38° above 0. That night it dropped to 23° below 0. What is the difference between the high and low temperatures for Sunday? - Transform 4

Transform to a positive angle in standard position: 24° west of north - Construction

Construct the triangle ABC if you know: the size of the side AC is 6 cm, the size of the angle ACB is 60°, and the distance of the center of gravity T from the vertex A is 4 cm. (Sketch, analysis, notation of construction, construction) - Rhombus angles

If one angle in the rhombus is 137.6°, what is its neighboring angle in the rhombus? - One angle

One angle is 10 degrees more than four times the measure of the other angle. Together they have a sum of 120 degrees. What is the measure of each angle? - Know one angle

In a right-angled triangle, the measure of an angle is 40°. Find the measure of other angles of the triangle in degrees. - 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? - The sum 11

The sum of the measures of the two angles is 89°. One angle has a measure of 64°. What is the measure in degrees of the second angle?

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