2. In the given figure, find the value of (a) a + b +c+d a b (b) w + x + y + z 48 Step Ahead Mathematics Book 8
Answers
Answered by
1
Step-by-step explanation:
AB∥DC; x=
3
4
y and y=
8
3
z
AB∥DC,
⇒ ∠ABD=∠BDC [ Alternate angles ]
∴ ∠ABD=∠BDC=x
In △BDC,
x+y+z=180
o
⇒
3
4
y+
8
3
z+z=180
o
First we will solve the
3
4
y.
Since, y=
8
3
z
∴
3
4
×
8
3
z
⇒
24
12
z
⇒
2
1
z
Now,
2
1
z+
8
3
z+z=180
o
⇒
8
4z+3z+8z
=180
o
.
⇒
8
15z
=180
o
.
⇒ 15z=180
o
×8
⇒ z=
15
1440
⇒ z=96
o
.
Now, y=
8
3
z
⇒ y=
8
3×96
o
⇒ y=
8
288
⇒ y=36
o
.
Now, x=
3
4
y
⇒ x=
3
4×36
o
⇒ x=
3
144
⇒ x=48
o
.
∴ x=48
o
,y=36
o
and z=96
o
.
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SIMILAR QUESTIONS
star-struck
ABCD is a trapezium such that BC∥AD and AD = 4cm. If the diagonals AC and BD intersect at O such that
OC
AO
=
OB
DO
=
2
1
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