Two adjacent angles of a parallelogram are (2x + 25)° and (3x - 5)°. The value of x is

Question

Two adjacent angles of a parallelogram are (2x + 25)&#xB0; and (3x - 5)&#xB0;. The value of x is

Philoid · Accepted Answer

Let ∠A = (2x + 25)°, ∠B = (3x - 5 )°

Since the sum of any two adjacent angles of a parallelogram is 180°,

∠A + ∠B = 180°

(2x + 25)° + (3x - 5)° = 180°

5x + 20° = 180°

5x = 180° - 20°

5x= 160°

X= 160/5 = 32°

So, Value of x is 32°.