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The last angle would have to be 60 degrees as well. Since there are 180 degrees in a triangle, 60+60=120 and 180-120=60, it has to be 60 degrees.

www.dummies.com/education/math/geometry/measuring-and-making-angles

It’s any angle that measures more than 0 degrees but less than 90 degrees. An acute angle falls somewhere between nonexistent and a right angle (see Figure 4). Figure 4: Acute angles — at 45° (Figure a), 60° (Figure b), and 30° (Figure c).

www.mathsisfun.com/geometry/degrees.html

(Note: "Degrees" can also mean Temperature, but here we are talking about Angles) The Degree Symbol: ° We use a little circle ° following the number to mean degrees. For example 90° means 90 degrees. One Degree. This is how large 1 Degree is . The Full Circle. A Full Circle is 360° Half a circle is 180° (called a Straight Angle) Quarter of ...

www.freemathhelp.com/triangle-30-60-90.html

Properties of a 30-60-90 Right Triangle A special kind of triangle. A 30-60-90 right triangle (literally pronounced "thirty sixty ninety") is a special type of right triangle where the three angles measure 30 degrees, 60 degrees, and 90 degrees. The triangle is significant because the sides exist in an easy-to-remember ratio: 1:$$\sqrt{3}$$:2.

A 60-degree angle, as with any angle between 1 and 89 degrees, is an acute angle.

en.wikipedia.org/wiki/Degree_(angle)

A degree (in full, a degree of arc, arc degree, or arcdegree), usually denoted by ° (the degree symbol), is a measurement of a plane angle, defined so that a full rotation is 360 degrees.. It is not an SI unit, as the SI unit of angular measure is the radian, but it is mentioned in the SI brochure as an accepted unit. Because a full rotation equals 2 π radians, one degree is equivalent to π ...

www.wikihow.com/Construct-a-60-Degrees-Angle-Using-Compass-and-Ruler

Construct a 90° angle and bisect it. (See the wikiHow article Construct a 90 Degrees Angle Using Compass and Ruler.)Bisect the angle this way: Strike an arc through both legs of the 90° angle. From each point of intersection (of the arc and legs), strike arcs of the same radius such that they intersect each other.

www.dummies.com/education/math/calculus/quick-guide-to-the-30-60-90-degree...

The 30-60-90 degree triangle is in the shape of half an equilateral triangle, cut straight down the middle along its altitude. It has angles of 30°, 60°, and 90°. In any 30-60-90 triangle, you see the following: The shortest leg is across from the 30-degree angle, the length of the hypotenuse is always double the […]

www.mathsisfun.com/geometry/construct-60degree.html

60 Degree Angle. How to construct a 60 Degree Angle using just a compass and a straightedge

www.mathopenref.com/degrees.html

The degree is divided in to 60 minutes. For even finer measurements the minute is divided again into 60 seconds, However this last measure is so small, it only used where angles are subtended over extreme distances such as astronomical measurements, and measuring latitude and longitude.

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