Question

if two opposite angles of a parallelogram are 63-3x° & 4x - 7° find all the angles of the parallelogram

Answer 1

In a parallelogram, the opposite angles are equal.

Here, the opp angles are 63°-3x° and 4x°-7°.

=> 63°-3x° = 4x°-7°
-3x°-4x°=-7°-63°
-7x°=-70°
x=70÷7
x=10°
Substituting x in both, we get:

63°-3x°= 63°-3(10°)
=63°-30°
=33°
Therefore, two angles are 33°.


In a parallelogram, the adjacent angles are supplementary.

=> 33°+y=180°
y=180°-33°
y=147°.

Therefore , the other two angles are 147°.