Question

Two adjacent angel of a parallelogram are (2x+25)and (3x–5).The value of x is​

Answer 1

Answer:

• Value of x = 32°
• Two adjacent angle of parallelogram = 89° and 91°.

Step-by-step explanation:

Given:

• Two adjacent angle of parallelogram = (2x + 25) and (3x - 5)

To Find:

• Value of x

Now, we know that,

=> Sum of adjacent angle of parallelogram = 180°

=> 2x + 25 + 3x - 5 = 180°

=> 5x + 20 = 180

=> 5x = 180 - 20

=> 5x = 160

=> x = 160/5

=> x = 32°

Hence, two adjacent angle of parallelogram are,

• (2x + 25) = 2 × 32 + 25 = 64 + 25 = 89°
• (2x + 25) = 2 × 32 + 25 = 64 + 25 = 89°(3x - 5) = 3 × 32 - 5 = 96 - 5 = 91°

Verification:

=> Sum of adjacent angle of parallelogram = 180

=> 89 + 91 = 180

=> 180 = 180

Hence Proved!!

Answer 2

$</p><p>\huge {\tt{\pink{Hello!!! }}}$

First before Answering this question, I am going to mention some properties of a parallelogram..

$</p><p>\huge{\fbox {\fbox{\rightarrow {\mathfrak {\green{Properties \: Of \: A \: Parallelogram }}}}}}$

There are three mportant properties of parallelograms to know:

$</p><p>\tt{\pink{Opposite\: sides \:are\: congruent\: (AB = DC). }}$

$</p><p>\tt{\blue{Opposite \:angles\: are \:congruent\: (D = B). }}$

$\tt{\purple{Consecutive \:angles\: are\: supplementary\: (A + D = 180°). }}$

$</p><p>\tt{\green{Hence \: 2x \: + \: 25\: + \:3x \: - \: 5 \: = 180 ° }}$

=> 5x + 20 = 180°

=> X = 32°