There are four angles, a=45, b= x+44, c=3x-23, d=3x. They are expressed in terms of x. Just add the angles, 45 + (x+44) + (3x-23) + (3x) = 360. You get the equation for the unknown x. Collect the like terms and solve for x.Frank212 said:
Thank you ehild, your explanation really helped a lot.ehild said:
Frank212 said:
A central angle is an angle formed by two radii (or line segments) originating from the center of a circle. It spans from one point on the circle to another, creating an arc.
The central angle theorem states that the measure of a central angle is equal to the measure of the arc it intercepts. In other words, the degree measure of an arc and its corresponding central angle are equal.
To find the measure of a central angle, you can use the central angle theorem by setting the measure of the arc equal to the measure of the central angle. You can also use a protractor to physically measure the angle.
An inscribed angle is an angle formed by two chords (or line segments) within a circle. The relationship between a central angle and an inscribed angle is that they both intercept the same arc. Additionally, the measure of an inscribed angle is half of the measure of its corresponding central angle.
Central angles have many real-life applications, such as in navigation and map-making. They are also used in engineering and architecture to construct circular structures. In astronomy, central angles are used to measure the apparent size of celestial objects. Additionally, central angles are used in sports to determine angles of movement and trajectory.