Question

Two adjacent angles of a parallelogram are (2x + 3) and (3x + 2) find the value of x and find the measure of each parallelogram.

Answer 1

Siddharth Lohan, hello

The sum of the interior angles of a parallelogram is 360 degrees.

Therefore, in this problem, 2(2x+3) + 2(3x+2) = 360 or x = 35 degrees.

The two adjacent angles then are: 73 degrees and 107 degrees

Answer 2

Two adjacent angles of a parallelogram are (2x + 3) and (3x + 2).

The sum of adjacent angles is 180°.

(2x + 3) + (3x + 2) = 180°

5x + 5 = 180°

5x = 180° - 5

5x = 175°

x = \(\frac {175^\circ}5\)

x = 35°

\(\therefore \) (2x + 3) = 2 x 35° + 3

= 70° + 3

= 73°

\(\therefore \) (3x + 2) = 3 x 35° + 2

= 105° + 2

= 107°

Two adjacent angles of a parallelogram are 73° and 107°.