Math, asked by aniamihome, 5 months ago

construct an angle of 75 using a compass step by step with pic pls

Answers

Answered by ritajitusolanki

Answer:

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Step-by-step explanation:

Draw a line segment BC, which is one of the arms of the angle that is to be constructed.

Constructing Angles Using a Protractor - Step 1

Place the protractor with its point O on the point B of the line segment BC.

Constructing Angles Using a Protractor - Step 2

Align OQ along the edge BC.

The protractor has two-way markings. We consider the scale which has 0 degrees near point C for construction. Mark point A next to the 120 degrees mark on the scale.

Constructing Angles Using a Protractor - step 4

Join points A and B. ∠ABC = 120 degrees is the required angle.

Constructing Angles Using a Protractor - Step 5

Constructing Angles of Unknown Measure

Constructing angles of unknown measure is basically copying a given angle whose measure is not known. We accomplish this task using the compasses. Let us say that you are given ∠BAC that you are supposed to copy.

Constructing Angles of Unknown Measure

The steps are:

Draw a line PQ. Point P is the vertex of the copied angle.

Constructing Angles of Unknown Measure - Step 1

Place the compass pointer at point A and make an arc which cuts arms AC and AB at points K and J respectively.

Constructing Angles of Unknown Measure - step 2

Without changing the radius of the compass, cut an arc on PQ at point M.

Constructing Angles of Unknown Measure - Step 3

Adjust the compass such that the pointer is placed at K and pencil head at J.

Constructing Angles of Unknown Measure - step 4

With the same radius, draw an arc on the first arc with the compass pointer at M. Mark the intersecting point as L.

Constructing Angles of Unknown Measure - step 5

Join the points P and L using a ruler. Extend the line up to R.

Constructing Angles of Unknown Measure - step 6

∠RPQ is the required angle.

How to Construct 75 degree Angle

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 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.

Answered by sanjibsingha1979

Answer: