Parallelogram GRAM with GR=AM=5cm,RA=MG=6.2 cm and angle 85°.
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Step-by-step explanation:
GIVEN In Parallelogram GRAM,
GR = AM = 5 cm
RA = MG 6.2 cm
ZR = 850
PROCEDURE :
Step 1: draw a rough sketch of the parallelogram GRAM and mark the given measurements.
Since the given measurements are not sufficient for construction, we shall find the required measurements using the properties of the parallelogram.
As opposite angles of parallelogram are equal so, R = <M = 850 and as the consecutive angles are supplementary SO, ZG = 180° - 85° = 95°.
Thus LG = ZA = 95°.
Step 2: construct AGRA using SAS property of construction model with GR = 5cm, ZR 850 and RA = 6.2 cm.
Step 3: construct ZG = 95° and draw GY
|| RA.
Step 4: construct ZA = 95° and draw AN
to meet GY at M.
GRAM is the required quadrilateral (ie. Parallelogram).