# Find the measure of all the angles of a parallelogram, if one angle is 24° less than the twice of the smallest angle.

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°

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