Question

How to construct 75°​

Answer 1

answer:

in order to construct 75°, you need to use a protractor and a compass

step-by-step explanation:

here is a step-by-step explanation from an online source

• 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

Answer 2

Construct 60°. Then 120°. Then construct 90° by bisecting them. Then bisect 60° and 90°. Then it will be 75°.