Using the given figures, find the measure of ∠A.
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Step-by-step explanation:
ΔUGN SIMILAR toΔMRA
BECAUSE UG/MR=UN/AM=GN/AR=1/2
BY SSS SIMILARITY RULE
SO, BY CPST ANGLE G=ANGLE R=80°
ANGLE M=ANGLE U=60°
ANGLE A =ANGLE N
SUM OF ALL THE ANGLES IN A TRIANGLE IS 180° SO ABGLE N =180°-(60°+80°)=40°
THUS ANGLE A ALSO 40°
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