## Constructing a 30° angle

This page demonstrates how to make a 30 degree angle with a compass and a straightedge or ruler by first making a rhombus and then a diagonal from it, with the angles created having to be measured in 30 degree increments.

### Proof

The rhombus is a quadrilateral with four congruent sides whose two diagonals form four 30-60-90 triangles. PTRS is a right triangle with two sides in the ratio 1:2 and an angle APS of 30u00b0.

### Try it yourself

When you get to the page, use the browser print command to print as many as you want; the printed output is not copyrighted, and you do not need to copy or alter any of the text.

## How do you draw a 30 degree angle with a protractor?

Follow these steps to draw a 30-degree angle with the protractor: Step 1: Draw a line segment OA. Step 2: Place the protractor’s center tip at point A so that the protractor is perfectly aligned with line AO. Step 3: Turn the protractor clockwise until it reaches 30.

## How do you measure 30 degrees without a protractor?

You’ll have a ruler and a pair of compasses in the exam, which you can use to draw two arcs to make a 60 degree angle, then draw two more arcs to bisect that 60 degree angle and make a 30 degree angle.

## What angle is 45?

What is a 45-Degree Angle? A 45-degree angle is half of a 90-degree angle formed between two rays. It is an acute angle and two angles measuring 45 degrees from a right angle or a 90-degree angle.

## What is a 40 angle?

Angles are classified based on their degree measures as follows: Acute Angle: An acute angle is defined as an angle with a magnitude greater than 0u00b0 but less than 90u00b0. Angles with magnitudes of 30u00b0, 40u00b0, and 60u00b0 are all acute angles.

## How many inches high is a 30 degree angle?

To achieve a 30 degree angle, you can either raise the head of your bed 41 inches or sleep on one of our adult wedges, which only raise your upper body to a 30 degree angle and come in small and large degrees.

## Does a right angle have to be 90 degrees?

Acute angles are those that are less than 90 degrees, right angles are those that are 90 degrees, and obtuse angles are those that are greater than 90 degrees.

## How do you construct a 30-60-90 angle?

The Triangle of 30-60-90 Degrees in a Nutshell

- Type 1: You know the short leg (the side across from the 30-degree angle)
- double its length to find the hypotenuse.
- Type 2: You know the hypotenuse
- divide the hypotenuse by 2 to find the short side.

## What is the shortest side of a 30-60-90 triangle?

Explanation: In a 30-60-90 right triangle, the shortest side is half of the hypotenuse, which is opposite the 30 degree angle.

## What is a 120 degree angle called?

Obtuse Angle Measure = (180 – acute angle measure) In the illustration above, line segment DO intersects line segment OQ at point O, forming an obtuse angle DOQ of 120u00b0.

## What is the name of 90 degree angle?

Angles of 90 degrees ( = 90u00b0) are known as right angles, while angles of 180 degrees ( = 180u00b0) are known as straight angles, and angles of 180 to 360 degrees (180u00b0 360u00b0) are known as reflex angles.