Question

two opposite angles of a parallelogram are (3x-2)degree and (50-x)degree . find the measure of each angle of the parallelogram​

Answer 1

Figure:-

Given:-

• Two opposite angles of a parallelogram are (3x-2)degree and (50-x)degree .

To find:-

• Find the measure of each angle of the parallelogram..?

Solutions:-

• Two opposite angles of a parallelogram are (3x-2)degree and (50-x)degree.

We know that.

The opposite angle of a parallelogram are equal.

Therefore;

=> 3x - 2 = 50 - x

=> 3x + x = 50 + 2

=> 4x = 52

=> x = 52/4

=> x = 13

Thus,

=> <A = (3x - 2)°

=> <A = 3 × 13 - 2

=> <A = 39 - 2

=> <A = 37°

Also, AB // DC

Therefore,

The sum of consecutive interior angle must supplementary angle.

=> <A + <D = 180°

=> 37° + <D = 180°

=> <D = 180° - 37°

=> <D = 143°

Since, opposite angle of a parallelogram are equal.

=> <C = 37° and <D = 143°

Hence, the four angle of the parallelogram are 37°, 143°, 37°, and 143°.

Some Important:-

• Straight line = Angle which measures 180°.
• Supplementary Angle = The two angle are supplementary, if there sum are 90°.
• Complementary Angle = The two angle are complementary, if these sum are 90°.