Question

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If two opposite angles of a parallelogram are (63 − 3x)°and (4x − 7)°. Find all the angles of the parallelogram.

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Answer 1

Step-by-step explanation:

(3x - 2) = (63 - 2x) (opp angles are equal in a parallelogram)

3x+2x=63+2

5x=65

x=65/5=13

3×13−2=37

63−2×13=37

Sum of 2 angles = 74

Total sum of angles in a parallelogram = 360

360−74=286 

286/2=143 ( other two angles)

Therefore angles are 37, 143 , 37 & 143.

Answer 2

Answer:

Step-by-step explanation:

Given: Angles are (63 - 3x)° and (4x - 7)°.

To find: All the angles of the parallelogram.

Solution:

In a parallelogram,

=> opposite angles are equal.

∴, (63 - 3x)° = (4x - 7)°

=> -3x = 4x - 70

∴ x = 10

Thus, the angles are,

=> 63 - 3x°

• 63 - 30

∴ 33°

=> 4x - 7°

• 40 - 7

∴ 33°

Other two angles are,

• 180° - 33°
• 147° &
• 180° - 33°
• 147°

Since, sum of adjacent angles in a parallelogram is equal to 180°.