What is the formula for angle bisector?

What is the formula for angle bisector?

What is the formula for angle bisector?

According to the angle bisector theorem, PQ/PR = QS/RS or a/b = x/y. An angle bisector is a line or ray that divides an angle in a triangle into two equal measures.

How do you find the equation of the bisector of the acute angle?

  1. Consider the straight lines x+2y+4=0 and 4x+2y−1=0.
  2. The equation of the bisector of the acute angle between the lines 2x−y+4=0 and x−2y=1 is.
  3. Equation of the bisector of the acute angle between lines 3x+4y+5=0 and 12x−5y−7=0 is:

How do you make a 90?

Step 1: Draw a line segment XY of any measurement. Step 2: Place the midpoint or center of the protractor on point X. Step 3: Starting from 0° in the protractor, move in the anti-clockwise direction and mark a point in the place of 90° as Z. Step 4: Join the points Z and X.

How do you construct an angle bisector of 105 degrees?


  1. Draw BC = 5 cm (any)
  2. Place the centre of the protractor on B along the base line BC.
  3. Using protractor construct m∠ABC = 105°.
  4. Draw an arc with centre at B and any fixed radius.
  5. Mark the points of intersection of the arc with the arms as P and Q.
  6. Keeping the same radius and with centres P and Q, draw arcs.

How do you find the bisector of an angle using a compass?

To bisect an angle, you use your compass to locate a point that lies on the angle bisector; then you just use your straightedge to connect that point to the angle’s vertex. Try an example. Open your compass to any radius r, and construct arc (K, r) intersecting the two sides of angle K at A and B.

How do you find the angle bisector of a pair of lines?

Equation of the pair of straight lines isx2−y2=0a=1,b=−1andh=0∴Equation of the angle bisector is 2×2−y2=0xyorxy=0.

What is the angle of 45 degrees?

A 45-degree angle is an acute angle. It is half of the right angle or 90-degree angle. An angle bisector of a 90-degree angle forms two equal angles of 45 degrees each. The 45-degree angle can be seen in so many places in our day-to-day life, such as in scissors, doors, windows, etc.

What angle is 75?

And the angles which are greater than are called Obtuse angles. Therefore the given angle is acute angle.