Respuesta :

answer: A. 10⁰

step by step explnation:

If ABCD ≅ QRST, then m∠A = m∠Q,sox-10 = 2x - 302x-x=30-10x=20m∠A = x - 10 =20-10 = 10m∠A  = 10⁰

Let's assume that these are congruent parallelograms..

Since, They are congruent their angles and sides will be equal.

  • *Note that:- We assumed these to be parallelograms because square and rectangle have all angles 90° which is not possible to be formed with the given info...

[tex]\pink{⊱─━━━━━━━━⊱༻●༺⊰━━━━━━━━─⊰}[/tex]

[tex] \rm \: m∠A = m∠Q[/tex]

  • m∠A = x-10°
  • m∠Q = 2x-30°

Solve for X using the equation...

[tex] \rm \: x - 10 = 2x - 30[/tex]

[tex] \rm \: x -2x = - 30 + 10[/tex]

[tex] \rm \: -x = - 20[/tex]

[tex] \rm \: x = 20[/tex]

Now,

[tex] \sf \: m∠A =x - 10 \\ = > \sf \: 20 - 10 \\ = > \sf \: 10 \degree[/tex]

[tex] \sf m∠Q =2x - 30 \\ = > \sf \: 2 \times 20 - 30 \\ = > \sf \: 10 \degree[/tex]

  • Thus, Option A is the correct choice!!~

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