. In parallelogram ABCD, 3LA = 2LB. Then,
LD=
A. 120°
B. 108°
C. 72°
D. 60°
Answers
Answer:
here is your answer
(B) 108
Answer:
Correct option is B
Step-by-step explanation:
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Class 9
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>>Quadrilaterals
>>Quadrilaterals and Their Various Types
>>In parallelogram ABCD, A = 3 times B.
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In parallelogram ABCD,∠A=3 times ∠B. Find all the angles of the parallelogram. In the same parallelogram if AB=5x−7 and CD=3x+1; find the length of CD.
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Updated on : 2022-09-05
Solution
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Let ∠B=x
∠A=3∠B=3x
AD∣∣BC
∠A+∠B=180
o
3x+x=180
o
⇒4x=180
o
⇒x=45
o
∠B=45
o
∠A=3x=3×45=135
o
And ∠B=∠D=45
o
Opposite angles of parallelogram are equal
∠A=∠C=135
o
Opposite sides of parallelogram are equal.
AB=CD
5x−7=3x+1
⇒5x−3x=1+7
⇒2x=8
⇒x=4
CD=3×4+1=13
Hence 135
o
,45
o
,135
o
and 45
o
.