10. What is the size of angle / cBX? if x=82 in a circle
Answers
Answer:
Two rays that have the same endpoint create an angle. The point at which they intersect is called the vertex. The angle forms part of an imaginary circle. And, since circles measure 360-degrees, you can find the angle measurement formed by the rays. Here are some things that you should know about how to find the measure of an angle.
Step-by-step explanation:
Four Types of Angles
There are four types of angles. Knowing the difference helps you estimate the measurement of an angle. Here are the four types of angles and the measurements to help you classify each one.
Straight angle (180-degrees)
Acute angle (less than 90-degrees)
Right angle (90-degrees)
Obtuse angle (More than 90-degrees but less than 180 degrees)
Using a Protractor
The best way to measure an angle is to use a protractor. To do this, you’ll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle’s measurement to the nearest degree.
Angles in Triangles
Triangles received their name from the three angles that they possess. These three angles should add up to 180-degrees. Oftentimes, you’ll have the measurements of two angles. However, you’ll have to figure out the measurement of the third angle. The equation to use is:
angle A + angle B + angle C = 180-degrees.
For example, say you have the following triangle. What is the measurement of angle C?
how to find the measure of an angle, illustration example A - magoosh
If you plug these numbers into the equation, you get the following equation:
angle measurement, work out example A - magoosh
Angles in Quadrilaterals
Squares and rectangles have four right angles. If you add up the angles, you get 90 + 90 + 90 + 90 = 360. A quadrilateral also has four angles. Therefore, the shape’s angles add up to 360-degrees even if there are no right angles. To determine the missing angle of a quadrilateral, you can use the following equation:
angle A + angle B + angle C + angle D = 360-degrees.
Check out the following example. Can you figure out the missing angle in this quadrilateral?
how to find the measurement of an angle, find angle in quadrilateral - magoosh
To find the missing angle, plug the angle measurements into the equation:
how to find the measurement of an angle, solve equation to find angle in a quadrilateral - magoosh
Whether you’re working with a ray, triangle, or quadrilateral, there are methods you can use to discover the missing measurement of an angle. If you’re wondering how to find the measure of an angle on a ray, triangle, or quadrilateral, try using a protractor or the equations we’ve discussed. They should work, and help make your life a little easier!
Angle - An angle is formed by two rays with a common endpoint. Angles are measured in degrees (°).
Straight Angle = 180°
Right angle = 90°
Acute Angle > 0° and < 90°
Obtuse Angle > 90° and < 180°
Angle ABC is a straight angle.
Angles ABD and DBC are right angles.
Angles CBE and DBE are acute angles.
Angle ABE is an obtuse angle.
Angles
The sum of the three angles in any triangle is always 180°.
a + b + c = 180°
Knowing that the sum of the angles of triangle is 180° can help you to solve problems about triangles.
Angles
In this triangle, angle b is a right angle and angle c = 40°. What is the measure of angle a?
a + b + c = 180°
Since b is a right angle, b = 90°.
The problem states that c = 40°.
Therefore, a + 90° + 40° = 180°
a + 130° = 180°
a + 130° − 130° = 180° − 130°
a = 50°
Angle a measures 50°.
Angles
Click on the figure that matches this description.
An obtuse angle
Question 1 of 8
This is an acute angle. It measures less than 90°. Try again
This is a right angle. The square in the corner shows that it measures 90°. Try again
This is a straight angle. It measures 180°. Try again.
This angle is obtuse. It is greater than 90° and less than 180°.
One of these figures is an obtuse angle. Try again.
An obtuse angle is larger then a right angle and smaller then a straight angle.
Angles
Click on the figure that matches this description.
An acute angle
Question 2 of 8
This is an acute angle. It measures less than 90°.
This is a right angle. The square in the corner shows that it measures 90°. Try again
This is a straight angle. It measures 180°. Try again.
This angle is obtuse. It is greater than 90° and less than 180°. Try again.
One of these figures is an acute angle. Try again.
An acute angle is smaller then a right angle.
Angles
Click on the figure that matches this description.
A right angle
Question 3 of 8
This is an acute angle. It measures less than 90°. Try again
This is a straight angle. It measures 180°. Try again.
This angle is an obtuse angle. It measures more than 90° and less than 180°. Try again.
This is an acute angle. It measures less than 90°. Try again.
A right angle looks like a square corner and measures 90°.
A right angle measures 90°.
Angles
There are five question remaining. In each of these question, you will be asked to find the size of a missing angle.
Angles
Answerrrrrrrrrrrrrrrrrrrr is 90°