Question

The measure of two adjancet angle of parallelogram is in ratio 3:7 . Find the measure of each angle

Answer 1

Answer:

Hey friend,

Here is the answer you are searching for,

Let adjacent angles be 3x,7x;

Sum of adjacent angles = 180°

=> 3x+7x = 180°

=> 10x = 180°

=> x = 180/10 = 18°

=> Adjacent angles = 54°, 126°

Opposite angles are equal,

Therefore,

Four angles = 126°,126°,54°,54°

HOPE IT HELPS YOU.

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Answer 2

Answer:

#GENIUS MINDS .COM...

Step-by-step explanation:

LET THE MEASURE OF ADJACENT ANGLES BE 3X° AND 7X° RESPECTIVELY...

SINCE , THE FIG. IS A PARALLELOGRAM, OPPOSITE SIDES ARE PARALLEL,AND HENCE ,THE ADJACENT ANGLES ARE CO- INTERIOR ANGLES I.E EQUALS 180°

HENCE, WE CAN SAY

3X°+7x° =180°(co- interior angles)

10x°=180°

x°=18°....

thus, 3x°=54°

7x°=126°.....

NOW WE CAN SAY THE TWO UNKNOWN ANGLES OF PARALLELOGRAM ARE ALSO EQUALS 54°AND126°....( SINCE OPPOSITE ANGLES OF A PARALLELOGRAM ARE EQUAL).....ANS....

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