Question

If ABCD congruent to QRST, mangleA = x – 10º, and mangleQ = 2x – 30º, what is the mangleA?

Answer 1

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

Answer 2

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...

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`\rm \: m∠A = m∠Q`

• m∠A = x-10°
• m∠Q = 2x-30°

Solve for X using the equation...

`\rm \: x - 10 = 2x - 30`

`\rm \: x -2x = - 30 + 10`

`\rm \: -x = - 20`

`\rm \: x = 20`

Now,

`\sf \: m∠A =x - 10 \\ = > \sf \: 20 - 10 \\ = > \sf \: 10 \degree`

`\sf m∠Q =2x - 30 \\ = > \sf \: 2 * 20 - 30 \\ = > \sf \: 10 \degree`

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