Respuesta :
If ABCD ≅ QRST, then m∠A = m∠Q,
so
x-10 = 2x - 30
2x-x=30-10
x=20
m∠A = x - 10 =20-10 = 10
m∠A = 10⁰
so
x-10 = 2x - 30
2x-x=30-10
x=20
m∠A = x - 10 =20-10 = 10
m∠A = 10⁰
Answer:
[tex]m\angle A = 10^\circ[/tex]
Step-by-step explanation:
We are given the following information in the question:
[tex]ABCD \cong QRST\\m\angle A = x -10\\m\angle Q = 2x-30[/tex]
Since,quadrilateral ABCD is congruent to the quadrilateral QRST, then by the property of congruency, we can write,
[tex]m\angle A = m\angle Q[/tex]
Equating the value of the two angles, we get,
[tex]m\angle A = m\angle Q\\x - 10 = 2x - 30\\2x - x = 30-10\\x = 20[/tex]
Putting the value of x to obtain measure of angle A.
[tex]m\angle A = x -10 = 20-10\\m\angle A = 10^\circ[/tex]
Thus, the measure of angle A is 10 degrees.
