3. The adjacent angles in a parallelogram are in the ratio of 1: 4. Find all the angles of the parallelogram.
Answers
adjacent angle are in the ration of 1:5
1st side = 1x
2nd side =5x
sum of interior angles of //gm = 360°
According to the question,
1x+1x+5x+5x=360°
12x=360°
x= 360°/12
x= 30°
so 1st side = 1x=> 1×30 => 30(ANS)
2nd side= 5x => 5×30°=> 150° (ANS)
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Answer:
8th
Maths
Understanding Quadrilaterals
Parallelogram
Adjacent angles of a parall...
MATHS
Adjacent angles of a parallelogram are in the ratio of 1:2, find the measures of the smallest angles of the parallelogram
EASY
Help best friend
Study later
ANSWER
The ratio of adjacent angles of a parallelogram are 1:2
⇒ Let the adjacent angles are x and 2x
We know, that sum of the adjacent angles of parallelogram is 180
o
∴ x+2x=180
o
⇒ 3x=180
o
⇒ x=60
o
Adjacent angles are,
⇒ x=60
o
⇒ 2x=2×60
o
=120
o
∴ The smallest angle is 60
8th
Maths
Understanding Quadrilaterals
Parallelogram
Adjacent angles of a parall...
MATHS
Adjacent angles of a parallelogram are in the ratio of 1:2, find the measures of the smallest angles of the parallelogram
EASY
Help best friend
Study later
ANSWER
The ratio of adjacent angles of a parallelogram are 1:2
⇒ Let the adjacent angles are x and 2x
We know, that sum of the adjacent angles of parallelogram is 180
o
∴ x+2x=180
o
⇒ 3x=180
o
⇒ x=60
o
Adjacent angles are,
⇒ x=60
o
⇒ 2x=2×60
o
=120
o
∴ The smallest angle is 60o
Step-by-step explanation:
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