how to construct 75 degree and 120 degree with the steps
Answers
Answer:
Step-by-step explanation:
To construct a 75-degree angle, we need to produce an angle bisector in between 90-degree angle. Here are the steps to draw the angle.
Step 1: Draw a line segment with endpoint O and A.
Step 2: Draw an arc with O as centre cutting the line segment OA at point B with a compass.
Step 3: Keeping the radius same, draw an arc with B as centre cutting the arc at C.
Step 4: Keeping the radius same, and C as the center, draw an arc intersecting the arc drawn in the previous step at D.
Step 5: With any radius, draw two arcs with C and D as a center. Intersect these two arcs at E.
Step 6: Join OE. angle EOA is the angle with measurement of 90 degrees.
Step 7: Now the line OE intersect the arc at the point F.
Step 8: Taking F and C as a center, make an arc with a radius of more than half of the measurement FC. The arc intersects at point H.
Step 9: Join the point H and O. Angle HOA is the angle obtained of measurement 75 degrees.
Step 10: Angle HOA is the desired angle
Constructing a 120° Angle: 120° angle can be constructed using the logic that 60° + 120° = 180°. Thus, we can understand that in order to construct 120° we can construct 60° angle and then further extend one of its arms
Mark the vertex of your angle anywhere on the paper. Let us name this point as M
Draw a ray MN, extending in any direction and of any length. This will be one of the arms of our angle
Place the tip of the compass on point M and set its width to any measure less than the length of the ray MN
With the tip of the compass still on M, draw an arc so as to cut the ray MN at some point (say P).
Keeping the width unchanged, place the tip of the compass on the point P and draw another arc cutting the arc drawn in the previous step at some point (say Q)
Connect the points M and Q with a straight line and extend it to form a ray ML.
The measure of the angle LMN is 60