Construction the following angle and write the step of construction 75degree plz video
Answers
How to Construct a 75 Degree Angle
Construct a 75 Degree Angle:
By constructing a 90 degree angle using compass with base horizontal to the angle,75 degree angle can be obtained. A bisector angle is produced in between 90 degree angle,which gives an angle of 75 degree.
Construct 75 Degree Angle using Compass
The following steps are carried out to construct 75 degree-angle.
Step 1: Draw a ray with end point A and B.
Ray Figure
Step 2: With A as center and any radius, draw an arc cutting the ray at point C using a compass.
Radius Figure
Step 3: With C as center and the same radius, draw an arc cutting the arc drawn at D.
The Arc Radius
Step 4: With D as center and the same radius, draw an arc again intersecting the previously drawn arc at E.
Intersecting Arc
Step 5: Now, take any radius and draw two arcs with D and E as centers. Let these two arcs intersect at a point F.
Radius Intersect
Step 6: Join AF ∠FAB obtained is the angle of measure of 90 degree.
The Angle of Measure
Step 7:The line AF intersect the arc at the point named as G.
Intersect the Arc Figure
Step 8: With G and D as center draw an arc with radius more than half of the measurement (GD).The arc intersect at the point P.
Radius Measurement Figure
Step 9: Join the point P and A.∠PAB obtained is the angle of measurement 75 degree.
Angle of Measurement
Step 10: 75 degree angle
Degree Angle Figure