Question

If ABCD≅ QRST, m<A = x-10, and m<Q=2x-30, what is <A?

Answer 1

If ABCD is congruent to QRST, it means that their corresponding angles are congruent. So,

m<A = m<Q

x - 10 = 2x - 30

30 - 10 = 2x - x

20 = x

So, <A = x - 10 = 20 - 10 = 10 degrees.