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Given AC=AB.
→ABC=ACB ( let it be x) [ Angles Opposite to equal Sides are Equal]
By Angle sum Prpty of triangle...
180°=36° +x+x (ABC=ACB)
→180-36=2(x)
→2(ACB)=144
→ACB=144/2=72°
(1),(2)→ACB=ABC=72°..
Now By Using Exterior angle Prpty...
ABC=ADB+DAB
→72°=45°+DAB
→DAB=72°-45°=27°...
(3)→DAB=27°
Same Prpty Using Again...
ACB=CEA+EAC
→72°=40°+EAC
→EAC=72°-40°=32°
(4)→EAC=32°
So
(1)ABC=72°
(2)ACB=72°
(3)DAB=27°
(4)EAC=32°
*I Marked Angles as (ABD ,EAC,...)
Hope it Helps...
Regards,
Leukonov.
→ABC=ACB ( let it be x) [ Angles Opposite to equal Sides are Equal]
By Angle sum Prpty of triangle...
180°=36° +x+x (ABC=ACB)
→180-36=2(x)
→2(ACB)=144
→ACB=144/2=72°
(1),(2)→ACB=ABC=72°..
Now By Using Exterior angle Prpty...
ABC=ADB+DAB
→72°=45°+DAB
→DAB=72°-45°=27°...
(3)→DAB=27°
Same Prpty Using Again...
ACB=CEA+EAC
→72°=40°+EAC
→EAC=72°-40°=32°
(4)→EAC=32°
So
(1)ABC=72°
(2)ACB=72°
(3)DAB=27°
(4)EAC=32°
*I Marked Angles as (ABD ,EAC,...)
Hope it Helps...
Regards,
Leukonov.
Answered by
1
Since AB=AC therefore angle ABC = angle ACB.
Again, angles ABC + ACB + BAC = 180°
ABC + ABC + BAC = 180 ° { since ABC = ACB}
2ABC + 36° = 180°
ABC = 72°
Therefore angle ABC = angle ACB = 72°
Now,
Angles DAB + ADB + ABD = 180°
DAB + 45° + (180°-72°) = 180°
DAB = 180° - 153°
DAB = 27°
Again,
Angles EAC + ACE + AEC = 180°
EAC + (180°-72°) + 40° = 180°
EAC = 180° - 148°
EAC = 32°
HOPE IT HELPS. THANK YOU
Again, angles ABC + ACB + BAC = 180°
ABC + ABC + BAC = 180 ° { since ABC = ACB}
2ABC + 36° = 180°
ABC = 72°
Therefore angle ABC = angle ACB = 72°
Now,
Angles DAB + ADB + ABD = 180°
DAB + 45° + (180°-72°) = 180°
DAB = 180° - 153°
DAB = 27°
Again,
Angles EAC + ACE + AEC = 180°
EAC + (180°-72°) + 40° = 180°
EAC = 180° - 148°
EAC = 32°
HOPE IT HELPS. THANK YOU
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