Question

1. Measures of opposite angles of a parallelogram are (3x-2)° and (50 - x)°. Find
the measure of its each angle.​

Answer 1

Answer:

• All angles of parallelogram are 37°, 37°, 143° and 143°.

Step by step Explanation:

Given:

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

To Find:

• Measure of each angle.

Now, we know that, in parallelogram opposite angles are equal.

=> 3x - 2 = 50 - x

=> 3x + x = 50 + 2

=> 4x = 52

=> x = 52/4

=> x = 13°

Hence opposite angles of parallelogram are:

• 3x - 2 = 37°
• 50 - x = 37°

Now we now that,

=> Sum of all angles of parallelogram = 360°

Let other two opposite angles are 'y'.

=> 37 + 37 + y + y = 360°

=> 74 + 2y = 360°

=> 2y = 360 - 74

=> 2y = 286

=> y = 286/2

=> y = 143°.

Hence, other two opposite angles are 143°.

Answer 2

Step-by-step explanation:

Hey mate here is your ans....