Question

The sum of the two opposite angels of a parallelogram is 150 find all angles of the parallelogram ​

Answer 1

HELLO DEAR FRIEND

Let one angle of a parallelogram be x

we know that opposite angles of a parallelogram are equal.

given that

x + x = 150

2x = 150

$\large{x = \frac{ \large{150}}{ \large{2}} }$

$\large \boxed{x= {75}^{ \tiny{0}} }$

so, the opposite angles will 75° and 75° respectively.

let one of the another opposite angles be y

sum of the opposite angles will 180 - 150

= 30°

Then,

y + y = 30

2y = 30

$\large{y = \frac{ \large{30}}{ \large{2}} }$

$\large \boxed{y= {15}^{ \tiny{0}} }$

so, the opposite angles will 15° and 15° respectively.

THE ANGLES OF THE PARELLALOGRAM WILL

⏬⏬⏬⏬⏬

$\bf \boxed{ \large \boxed{ \: \: \boxed{ {75}^{ \tiny{0}}} \: \: \boxed{ {15}^{ \tiny{0}}} \: \: \boxed{ {72}^{ \tiny{0}} } \: \: \boxed{ {75}^{ { \tiny{0}}} } \: \: }}$

THANKS