Respuesta :

wegnerkolmp2741o

Answer:

B= A = 68

Step-by-step explanation:

ACE = BCD similar triangles.  Similar triangles have equal angles.

A=B

C=C

D=E

This means if we can find angle B, we know angle A

BCD is a triangle so it equals 180 degrees

B+C+D = 180

B + 74+38 = 180

Combine like terms

B +112 = 180

Subtract 112 from each side

B +112-112 = 180-112

B = 68

Since we know angle B, we know angle A

B= A = 68

Answer:

Measure of < A = 68 degrees.

Step-by-step explanation:

WE find this by using the fact that there are 180 degrees in a triangle.

Consider triangle CAE:

m < C = 38 degrees, m < E = 74 degrees, therefore:

m < A = 180 - (38+74)

=  180 - 112

= 68 degrees (answer).

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