In the adjoining figure if AB || CD angle A=50 and angle B=40 find the measure of the remaining four angles
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Answer:
LODC=50°,LODC=40°
LAOB=90°,LCOD=90°
Step-by-step explanation:
(Ls is angle sign )
given that ,
LOAB=50°
LOBA=40°
Therefore ,LOAB=LODC=50°
[since it is alternating Ls]
again,
LOBA=LOCD=40°
[Since it is alternating angles]
here we know,
{sum of all angles of triangle is 180°}
so, LAOB+LOAB+LOBA=180°
so LAOB=180°-(50°+40°)
= 90°
therefore LAOB=LCOD=90°[since vertically opposite angles]
therefore
ANSWERS ARE ...
LODC=50°,LODC=40°
LAOB=90°,LCOD=90°
four angles☺
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