Question

if opposite angles of a parallelogram are (5x + 10)⁰ and 100⁰ . find x and explain​

Answer 1

Answer:

18°

Explanation:

Opposite angles of a parallelogram are equal.

So,

5x + 10 = 100

5x = 90

x = 18°

So, the answer is 18°.

Thank you.

Answer 2

✯ ᴀɴsᴡᴇʀ ✯

★ given →

☞︎︎︎ opposite angles of a parallelogram are (5x+10)° and 100°

_________________________

★ to find →

☞︎︎︎ value of x ?

_________________________

★ solution →

➪ firstly let's understand the properties of parallelogram

☆ opposite angles of a parallelogram are equal

☆ opposite sides of a parallelogram are equal

☆ diagonals of a parallelogram bisect each other

☆ opposite sides of a parallelogram are parallel

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☞︎︎︎ since, opposite angle of a parallelogram are equal..and here (5x+10) and 100 are opposite angles of a parallelogram...then,

$\: \: \: \: \: \: \: \: \: \: \: \: \:5x + 10 = 100 \\ \\ : \implies \: 5x = 100 - 10 \\ \\ : \implies \: 5x = 90 \: \: \: \: \: \: \: \: \: \: \\ \\ : \implies \: x = \frac{90}{5} \: \: \: \: \: \: \: \: \: \: \: \\ \\ : \implies \: x = 18 \: \: \: \: \: \: \: \: \: \: \: \:$

hence, value of x is 18 ✔︎