Reflex Angle Calculation
The angle subtended by the arc AB at the center is given. We need to find the reflex angle formed by the same arc at the center.
- A full circle has a total angle of $360^\circ$ around the center.
- The angle subtended by arc AB at the center is given as $140^\circ$.
- The reflex angle is the angle larger than $180^\circ$ covering the rest of the circle.
Calculating Reflex Angle for Arc AB
To find the reflex angle, subtract the given angle from the total angle of a circle ($360^\circ$).
- Given angle = $140^\circ$
- Total angle = $360^\circ$
- Reflex angle = Total angle - Given angle
- Reflex angle = $360^\circ - 140^\circ$
- Reflex angle = $220^\circ$
Therefore, the reflex angle made by arc AB at the center is $220^\circ$.
Similar Questions
- In a right triangle, one of the acute angles is $30^\circ$. What is the measure of the exterior angle at the right-angled vertex?
Two parallel lines are intersected by a transversal. If a pair of corresponding angles is formed, and one of the angles measures 130°, what is the measure of the other angle?
- Two angles are complementary. The measure of one angle is 10 degrees more than three times the measure of the other angle. What is the measure of the smaller angle?
- When a transversal intersects two parallel lines, one of the alternate interior angles is 115°. What is the measure of the angle that lies opposite to it on the alternate interior side?
- At an intersection of two lines, two angles are vertically opposite. If one of the angles measures $45^\circ$, what is the measure of the other angle?
Important Questions from Lines and Angles
Two parallel lines are intersected by a transversal, the corresponding angles are:
If l, m, n are lines such that, l is parallel to n and m is parallel to n, then, ______
There are three points P, Q and R on a straight line such that PQ : QR = 3 : 5. If n is the number of possible values of PQ : PR, then what is n equal to ?
Two cars start from a point at the same time and travel on two different roads at right angles to each other. Their speed is 18 km/h and 72 km/h respectively. What will be the distance between them after 6 seconds?
If angles of a triangle are in the ration of 2 : 3 : 4, then the measure of the smallest angle is:
