Question

23 Solve
Measures of opposite angles of a parallelogram are (3x)
measure of its e each angle.
and (52-x)" Find the​

Answer 1

Step-by-step explanation:

3x + 52°-x = 180°

2x = 180°-52°

x = 128°/2

x= 64°

Opposite angles =3×64° = 192°

Each angles = 64°-52° = 12°

Answer 2

Answer:

WKT.,

Opposite angles of a parallelogram are equal

ATQ.,

3x = 52° - x

3x + x = 52°

4x = 52°

x = 52°/4

x = 13°

[note - sum of adjacent angles of a parallelogram = 180°]

The angles are -

3x = 3(13°) = 39°

52 - x = 52 - 13° = 39°

the other 2 opposite angles are also equal. let these angles be y

39° + y = 180°

y = 180° - 39°

y = 141°

Hence the angles are = 39°, 141°, 39°, 141°

Hope it helps...