Question

eine segments AB and CD internet strach that I
I 2 CAB = 359 and 2 CDB = 55the BOD
al 110 (b) 70
In the figure, AB CD and AD
BC are the transversale
The measure of AOB​

Answer 1

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Answer 2

Hello friends

I am here to help you

As AE is a perpendicular to CD,AB,EF ;angle z + 55 = 90. So, angle z = 90 - 55 = 35 degrees

We have a statement that Sum of opposite interior angles of an one interior angle of a triangle is equal to the exterior angle of that interior angle. That means, Sum of angle BAC + angle z = angle x

 So, 90 + 35 = angle x

         angle x = 125 degrees.

 

As EB is a tnnasversal for AB & CD, angle x & angle y are corresponding angles. We know that corresponding angles are equal.

So, x = 125 degrees, y = 125 degrees & z = 35 degrees

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