Question

the adjacent angles of a parllelogram are (2x-12)° and (52+3x)° . find the measure of all the adjacent angles of a parllelogram​

Answer 1

Answer:

We know that sum of adjacent angles in a parallelogram is 180°

2x-12+52+3x=180°

5x+40=180°

5x=140°

x=28°

(2x-12)°= (56-12)°

= 44°

(52+3x)°= (52+84)°

= 136°

The angles of the parallelogram are 44°,136°,44°,136°

Hope this helps u

Answer 2

$\huge\purple{Required \: Answer :}$

The Measure of 4 adjacent angles of a parallelogram is 44°, 136°, 44° and 136°

$\huge\red{Explanation :}$

Adjacent Angles of a Parallelogram measures 180° , Therefore,

$(2x - 12) + (52 + 3x) = 180 \\ 2x + 3x + 52 - 12 = 180 \\ 5x + 40 = 180 \\ 5x = 180 - 40 \\ 5x = 140 \\ \: \: \: x = \frac{140}{5} \\ x = 28$

Therefore,

The measure of the angles are :

• 2x - 12 = 2(28) - 12 = 56 - 12 = 44°
• 52 + 3x = 52 + 3(28) = 52 + 84 = 136°
• 2x - 12 = 2(28) - 12 = 56 - 12 = 44°
• 52 + 3x = 52 + 3(28) = 52 + 84 = 136°

$\huge{Thanks : ❤}$