please solve this question
Attachments:
SolvingSoloist:
Is this a question from similarity?
Answers
Answered by
2
Tell me if it is right.
Attachments:
Answered by
1
Since, AB|| CD and AC is transversal
angle DCA =angleCAB (alt. int. angles)
Similarly, angleCDB =angleDBA (alt. int. angles)
In AOB and COD,
angleAOB =angleCOD (V.O.A)
angleOAB = angleOCD
angleOBA = angleODC
So, these two triangles are similar (AAA similarity)
Þ AO/CO = OB/OD
Þ (3x-19)/(x-3) = (x-4)/4
On solving, you get x = 8 or x = 11
That's my answer.
Hope it helps.
angle DCA =angleCAB (alt. int. angles)
Similarly, angleCDB =angleDBA (alt. int. angles)
In AOB and COD,
angleAOB =angleCOD (V.O.A)
angleOAB = angleOCD
angleOBA = angleODC
So, these two triangles are similar (AAA similarity)
Þ AO/CO = OB/OD
Þ (3x-19)/(x-3) = (x-4)/4
On solving, you get x = 8 or x = 11
That's my answer.
Hope it helps.
Similar questions