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Step-by-step explanation:
in triangle AHD AND ACD
AD=AD (COMMON)
AB=BC(GIVEN)
AND
BD=CD(ACCORDING TO QUESTION)
THEN , TRIANGLE ABD CONGRUENT TO TRIANGLE ACD ( by SSS CONGRUENCE RULE)
AND ANGLE ABD =70/2=35° because ACD IS S AN ISOSCELES TRIANGLE THEN ANGLE WILL BE EQUAL TO ANGLE C AND ANGLE BAC =40°
THEN X+X+40°=180°
2x=180°-40°
x= 140/2
x =70°
Which means Angle ABC = 70°
and half of ABC =ANGLE ABD
THEREFORE, 70°\2=35°=ANGLE ABD
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