Question

.Two adjacent angles in a parallelogram are in the ratio 2:4. Find the values. *

60 degrees,
120 degrees
20 degrees,
40 degrees
30 degrees,
120 degrees
none of these

Answer 1

Answer:

60 and 120 degree

Step-by-step explanation:

the sum of two adjacent angle of parallelogram is 180'

2x+4x=180'

6x=180'

x=180/6

x=30'

first angle=2x=2*30= 60

second angle=4x= 4*30= 120'

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Answer 2

Measures of angles of parallelogram are 60° , 120° , 60° , 120° if two adjacent angle in a parallelogram are in the ratio 2:4.

Given:

• Two adjacent angle in a parallelogram are in the ratio 2:4

To Find:

• The Measures of the angles

Solution:

• Parallelogram has opposite sides Equal and parallel
• Measures of Opposite angles are Equal
• Adjacent angles are supplementary
• Supplementary angles adds up to 180°

Step 1:

Assume that Adjacent angles are 2x and 4x

Step 2:

Add the angles and Equate with 180° to solve for x

2x + 4x = 180°

=> 6x  = 180°

=> x = 30°

Step 3:

Substitute x = 30° and calculate value of the angles

2x  = 2 (30° ) = 60°

4x = 4(30°) = 120°

As opposite angles are equal hence remaining two angles are also of measure 60°  and 120°

Measures of angles of parallelogram are 60° , 120° , 60° , 120° if two adjacent angle in a parallelogram are in the ratio 2:4.