Angles a° and c° are also vertically opposite angles, so must be equal, which means they are 140° each. Answer: a = 140°, b = 40° and c = 140°. Note: They are also called Vertical Angles, which is just another way of saying the same thing.

Acute **Angle**: An **angle** whose measure is more than 0° but less than 90° is **called** an acute **angle**. **Angles** having magnitudes 30°, **40**°, 60° are all acute **angles**.

Subsequently, question is, what is the opposite of 35 degrees? If the top angle measures **35 degrees**, then the bottom angle that is **opposite** the top angle will also measure **35 degrees**. If the left angle measures 145 **degrees**, then the angle that is **opposite** it also measures 145 **degrees**.

One may also ask, what is the opposite of 45 degrees?

Angles of –**45 degrees** and **45 degrees**. With those points in mind, take a look at the preceding figure, which shows a –**45**–**degree** angle and a **45**–**degree** angle. In plain English, the sine of a negative angle is the **opposite** value of that of the positive angle with the same measure.

How do you work out a 40 degree angle?

Once you know what the **angles** add up to, add together the **angles** you know, then subtract the answer from the total measures of the **angles** for your shape. For example, add 60 and 80 to get 140 for 2 **angles** in a triangle, then deduct 140 from 180 to work out the third **angle** in the triangle, which will be **40 degrees**.

### What are the 7 types of angles?

Types of Angles – Acute, Right, Obtuse, Straight and Reflex Anlges. When two lines intersect, at the point of their intersection an angle is formed.

### What is a 360 degree angle called?

Angles such as 270 degrees which are more than 180 but less than 360 degrees are called reflex angles. A 360° angle is called a complete angle. Drawing angles, angle measurement need a protractor.

### What is a 45 degree angle look like?

45-Degree Angle. A straight angle measures 180°. An angle can be measured using a protractor, and the angle of measure 90 degrees is called a right angle. In a right angle, the two arms are perpendicular to each other.

### What is 0 degree angle called?

Zero Angles An angle with a measure of zero degrees is called a zero angle. If this is hard to visualize, consider two rays that form some angle greater than zero degrees, like the rays in the . Then picture one of the rays rotating toward the other ray until they both lie in the same line.

### Is a 45 degree angle acute?

Acute angle. 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).

### What angle is 125?

Obtuse – any angle which measures more than 90 degrees but less than 180 degrees. These are “fat” angles that are very wide. Sample: angle DEF measures 125 degrees. Then angle DEF is obtuse.

### What is a 180 degree angle called?

An angle that is exactly 180 degrees is called a straight angle.

### What is a 55 degree angle called?

acute angle-an angle between 0 and 90 degrees. right angle-an 90 degree angle. obtuse angle-an angle between 90 and 180 degrees. straight angle-a 180 degree angle.

### What is the 3 4 5 Triangle rule?

Any triangle whose sides are in the ratio 3:4:5 is a right triangle. Such triangles that have their sides in the ratio of whole numbers are called Pythagorean Triples. If you multiply the sides by any number, the result will still be a right triangle whose sides are in the ratio 3:4:5. For example 6, 8, and 10.

### Are all 45 degree angles congruent?

The total angle sum of a triangle is 180 degrees, and the right angle is 90 degrees, so the other two must sum to 90 degrees. Each of these triangles is congruent, and has angles of measures 45, 45, and 90 degrees. If the legs opposite the 45 degree angles are of length x, the hypotenuse has a length of x .

### Why are triangles special?

The angles inside the triangle are also important. The sum of the angles is always 180°. Triangles are special because they are exceptionally strong. Out of all the two-dimensional shapes we can make out of straight struts of metal, only a triangle is rigid.

### What triangles are right triangles?

A right triangle consists of two legs and a hypotenuse. The two legs meet at a 90° angle and the hypotenuse is the longest side of the right triangle and is the side opposite the right angle. There are a couple of special types of right triangles, like the 45°-45° right triangles and the 30°-60° right triangle.

### What are the two special triangles?

This is because there are two special triangles whose side ratios we know! These two triangles are the 45-45-90 triangle and the 30-60-90 triangle.

### What does a 135 degree angle look like?

This is shown in Constructing the sum of angles. Adding angles. To make Combine angles 105° 45° + 60° 120° 30° + 90° or 60° + 60° 135° 90° + 45° 150° 60° + 90°