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gmany

Parallelogram has two pairs of congruent angles.

Therefore we have the equation:

[tex]3x-15=2x+24\qquad\text{add 15 to both sides}\\\\3x=2x+39\qquad\text{subtract 2x from both sides}\\\\\boxed{x=39}[/tex]

yoodyannapolis

The  value of x is 39°.

A parallelogram is a quadrilateral with equal and parallel opposite sides.

  • The opposite angles of a parallelogram are equal.

That is ∠A = ∠C, ∠D = ∠B.

  • Sum of all the angles of a parallelogram equals 360°.

That is ∠A + ∠B + ∠C + ∠D = 360°.

  • All the consecutive angles are supplementary.

That is ∠A + ∠B = 180°, ∠B + ∠C = 180°,∠C + ∠D = 180°, ∠D + ∠A = 180°

We have angles of parallelogram as

∠A= 3x-15,

∠B = 2x ,

∠C = 2x ,

∠D = 2x +24

So, 3x-15+2x+2x+2x +24 = 360°

9x+9= 360°

9(x+1) = 360°

(x+1) = 40°

x = 39°

Therefore the value of x is 39°.

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