Construct a parallelogram whose he=5cm each=6cm and angle r=85°

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To construct a parallelogram with given side lengths and an angle, follow these steps:

Step 1: Draw a line segment of length 5 cm to represent one of the sides of the parallelogram. Label the endpoints as A and B.
Step 2: From point B, draw a ray (half a straight line) at an angle of 85° to segment AB. Label the point where the ray intersects AB as D.
Step 3: Next, construct a line segment of length 6 cm starting from point D and on the same side as point A. Label the endpoint of this segment as C.
Step 4: Now, use a compass to measure the distance between points A and D (5 cm). Place the compass point at point A and draw an arc to intersect the ray from point B. Denote this point of intersection as E.
Step 5: With the same compass width, place the compass point at point C and draw another arc to intersect the ray from point D. Label this point of intersection as F.
Step 6: Finally, draw lines from points E to A, A to B, B to C, and C to D. These lines will form a parallelogram ABCD with the given side lengths and an angle of 85° at point B.

Note: The opposite sides of a parallelogram are equal in length and parallel to each other. The opposite angles of a parallelogram are also equal.