Question

Two opposite angles of a parallelogram are (3x - 2)° and (50 - x)°. Which of the following is an angle of the parallelogram?​

• A. 25°
• B. 37°
• C. 54°
• D. 72°

Answer 1

The correct option is B 37°

Given that,
two opposite angles of a parallelogram are (3x - 2)° and (50 - x)°.

We know that, opposite sides of a parallelogram are equal.

Now,
(3x - 2)° = (50 - x)°
3x + x = 50 + 2
4x = 52
x = 13.
Angle x is 13°.


Therefore,
(3x - 2)° = (3(13) - 2)° = 37°
(50 - x)° = (50 - 13 )° = 37°

Adjacent angles of a parallelogram are supplementary.
Let the other tworemaining angles be y.

Now,
y + 37 = 180°
y = 180° - 37° = 143°

Therefore, required angles are: 37°, 143°, 37° and 143°.