Given ABC≅DEF, m<A=2x+5, and m<D=3x+2, find m<A
A. 10
B. 11
C. 22
D. 3
Since ABC≅DEF, we know that the corresponding angles are congruent. Therefore, m<A = m<D.
From the given information, we have:
m<A = m<D
2x+5 = 3x+2
Subtracting 2x from both sides gives:
5 = x+2
Subtracting 2 from both sides gives:
3 = x
Therefore, m<A = 2x+5 = 2(3)+5 = 6+5 = 11
Therefore, the answer is B. 11.