Answer :

__Given:-__ one angle is 24° less than the twice of the smallest angle

__Formula used:-__ opposite angles of a parallelogram are equal

Corresponding angles sum is 180°

__Solution:-__

Let ∠ A and ∠ C be smallest because

∠ A = ∠ C [opposite angles of a parallelogram are equal]

2∠ A+ 24° =∠ B

∠ A+∠ B=180° [Sum of corresponding angles is 180° ]

∠ B=180°-∠ A

Then,

2∠ A+ 24° =180° -∠ A

3∠ A =180° - 24°

3∠ A=156°

∠ A==52°

∠ B=180° -∠ A

∠ B= 180° -52°

∠ B=128°

∠ B = ∠ D [opposite angles of a parallelogram are equal]

__Conclusion:-__

∴ Angles of parallelogram = 52°, 128°, 52°, 128°

Rate this question :

In <span lang="ENAP- Mathematics

ABCD is a paralleAP- Mathematics

In the adjacent fAP- Mathematics

ABCD is a paralleAP- Mathematics

Show that the diaAP- Mathematics

Find the measure AP- Mathematics

ABC is an isoscelAP- Mathematics

The opposite anglAP- Mathematics

In the adjacent fAP- Mathematics

In the adjacent fAP- Mathematics