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In the given figure,
If △EDC ~ △EBA
∠BEC=115° and
∠EDC= 70°, then
FIND:- (i)∠DEC,∠DCE,∠EAB,∠AEB & ∠EBA.
(ii)Find the ratio of A(△EDC):A(△EBA) if EM=7cm, EN=2cm.
Answers
Step-by-step explanation:
We will try to solve this question by external angle of a triangle's rule....
which states that the external angle of triangle is equal to the two internal angles opposite to it.
So,
angle BEC = ANGLE EDC + ANGLE ECD
115 = 70 + ANGLE ECD
angle ECD = 45
Now.
1) angle DEC -
we know that sum of all angle of traingle is 180
then, => EDC + ECD + DEC = 180
=> 70 + 45 + DEC = 180
=> DEC = 65
2) angle DCE will be same as angle ECD = 45
3) angle EAB - will be similar as angle EDC as both these triangles are similar and the respective angles in similar triangles are same.
angle EAB = 70
4)angle AEB = will be similar as DEC = 65
5) angle EBA = will be similar as ECD = 45
HOPE THIS WILL HELP YOU
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Step-by-step explanation:
wrong answer of this question