Question

the measure of two adjacent angles of a parallelogram are in the ratio3:2 Find the measure of the angles of the parallelogram​

Answer 1

Step-by-step explanation:

The angles are (108° and 78°)

Answer 2

Answer:

$\sf\large\underline\green{★QuEsTiOn★}$

The measure of two adjacent angles of a parallelogram are in the ratio3:2 Find the measure of the angles of the parallelogram .

$\sf\large\underline\green{Given :}$

• the measure of two adjacent angles of a parallelogram are in the ratio3:2 .

$\sf\large\underline\green{To find :}$

• Find the measure of each angle of parallelogram .

$\sf\large\underline\green{Solution :}$

$\sf{Suppose \:the \:angles\: be\: equal\: to\: 3x \:and \:2x }$

$\sf\large\underline\green{We\: have \:adjacent\:angles\:of\:a\: parallelogram = 180}$

$\sf\large\underline\green{ Putting \: all \: values :}$

$\sf{→3x + 2x = 180}$

$\sf{→5x = 180}$

$\sf{→ x = \frac{180}{5}}$

$\sf{→x = \cancel\dfrac{180} {5}}$

$\sf\orange{→x = 36}$

$\sf{→3x}$

$\sf{→3×36}$

$\sf\red{→108}$

$\sf{→2x}$

$\sf{→2×36}$

$\sf\green{→76}$

$\sf\large\underline\green{Verification :}$

• $\sf{3x + 2x = 180}$
• $\sf{3×36+2×36}$
• $\sf{108+72}$
• $\sf{ →180 = 180}$

$\sf\large\underline\pink{Hence,Verified}$

нσρє ıт нєłρs yσυ

_____________________

тнαηkyσυ