This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI Answer
Here are the steps to construct a angle and then bisect it to get a angle:
1. Construct a angle from a line PQ which is centimetres.
Step 1: Draw a line segment. Draw a straight line segment PQ that is cm long.
Step 2: Mark a point. Choose a point R on the line segment PQ. For simplicity, you can choose R to be at one end (e.g., P) or anywhere along the line. Let's assume you want to construct the angle at point R.
Step 3: Draw an arc. Place the compass needle at point R and draw an arc that intersects the line PQ at two points. Let's call these points A and B.
Step 4: Draw intersecting arcs. With the compass needle at point A, open the compass to a radius greater than half the distance between A and B. Draw an arc above the line PQ. Without changing the compass radius, place the needle at point B and draw another arc that intersects the first arc. Let's call the intersection point C.
Step 5: Draw the perpendicular line. Draw a straight line from point R through point C. This line will be perpendicular to PQ, forming a angle at R.
2. From the angle bisect it to get degrees.
Step 1: Identify the angle to bisect. You have constructed a angle, let's say . You need to bisect this angle.
Step 2: Draw an arc. Place the compass needle at point R (the vertex of the angle). Draw an arc that intersects both arms of the angle (RC and RQ). Let's call the intersection points D on RC and E on RQ.
Step 3: Draw intersecting arcs. With the compass needle at point D, open the compass to a radius greater than half the distance between D and E. Draw an arc inside the angle. Without changing the compass radius, place the needle at point E and draw another arc that intersects the first arc. Let's call the intersection point F.
Step 4: Draw the angle bisector. Draw a straight line from point R through point F. This line RF bisects the angle, creating two angles ( and ).
You have now constructed a angle and then bisected it to get a angle.
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1. Construct a 90^ angle from a line PQ which is 7 centimetres.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.