Question

2x- 5 degree , 3x + 55 degree, find the value of x​

Answer 1

Step-by-step explanation:

2x-5+3x+55=180

5x+50=180

5x=130

x=26

2x+25=2(26)+25=52+25=77

3(26)+55= 78+55=133

Answer 2

Answer:

The value of x is 24°.

Step-by-step explanation:

Given a parallelogram.

And the measures of adjacent angles are 2x+5° and 3x+5°.

In a parallelogram, the sum of adjacent angles is equal to 180°.

Therefore, the sum of the two given angles must be equal to 180°.

Thus, we get $2x+5^o + 3x+55^o=180^o$

Adding the like terms,

$\implies 5x+ 60^o=180^o$

$\implies 5x=180^o-60^o=120^o$

$\implies x=\frac{120}{5}=24^o$

Therefore, the value of x is 24°.

And the angles are

$2x+5^o=2\times 24+5=53^o$ and $3x+55^o=3\times 24+55=127^o$.