Given <SRT, construct a linear pair such that the supplement of <SRT is twice as large as <SRT

Answer:

Step-by-step explanation:

To construct a linear pair with angle SRT such that its supplement is twice as large as angle SRT, follow these steps:

1. Draw a line segment RT to represent the base of the linear pair. Label the endpoints as R and T.

2. From point R, use a compass to draw an arc that intersects line segment RT at a point P. This arc should be larger than a semicircle (180 degrees) to accommodate the larger supplement angle.

3. Without changing the compass width, place the compass at point P and draw another arc intersecting the previous arc at a point Q.

4. Draw line segment RS from point R, passing through point Q.

5. Construct the angle SRT by drawing a ray originating from point S, making any angle with line segment RT.

6. Measure the angle SRT using a protractor.

7. Construct the supplement angle of SRT by drawing a ray originating from point T and passing through point Q. The angle formed between the ray and line segment RT should be twice as large as angle SRT.

Now, you have constructed a linear pair with angle SRT and its supplement, where the supplement angle is twice as large as angle SRT.