1.given figure ABCDis a trapizuim in which A=x+25, B=y, C=95, D=2x+5 find the value of x+y ABCD is a rombous. show that diagonal AC bisects angle A as well as angle C and diagonal BD bisects angle B as well as angle D 3. in a paralleogram ABCD the bisctor of angle A also bisets BC at angle P provethat AD=2AB 4.2 opposite angles of a paralleogram are (5x-20)and (70-4x)find the measurment of each of a paralleogram. 5.in a adjoining figure if ABCD is a quadrilateral in which AB is paralleogram to DC and AD=BC prove that angle c =angle D
Asked by
| 16th Nov, 2013,
03:13: PM
Expert Answer:
Please ask one question at a time. Your first question is incomple (figure is missing).
Following is the solution to your second question:
Let us join AC
In
ABC
BC = AB (side of a rhombus are equal to each other)
1 =
2 (angles opposite to equal sides of a triangle are equal)
But
1 =
3 (alternate interior angles for parallel lines AB and CD)
2 =
3
So, AC bisects
C.
Also,
2 =
4 (alternate interior angles for || lines BC and DA)
1 =
4
So, AC bisects
A
Similarly, we can prove that BD bisects B and D as well.
Let us join AC
In
ABC
BC = AB (side of a rhombus are equal to each other)
1 =
2 (angles opposite to equal sides of a triangle are equal)
In

BC = AB (side of a rhombus are equal to each other)


But




So, AC bisects

Also,




So, AC bisects

Similarly, we can prove that BD bisects B and D as well.
Answered by
| 18th Nov, 2013,
11:57: AM
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