how to construct an angle of 75 degree
Answers
Answer:
acute angle-an angle between 0 and 90 degrees. right angle-an 90 degree angle. obtuse angle-an angle between 90 and 180 degrees. straight angle-a 180 degree angle.
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Step-by-step explanation:
To construct a 75-degree angle, we need to produce an angle bisector in between 90-degree angle. Let’s learn the steps to construct a 75-degree 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 P.
Step 9: Join the point P and O. Angle POA is the angle obtained of measurement 75 degrees.
Step 10: Angle POA is the desired angle.