Answer:
38°
Step-by-step explanation:
The measure of required angle can be obtained by using cosine law.
From the given triangle we find that:
a = 5, b = 3, c = 7,
Since,
cos (A) = (b^2 +c^2 - a^2) /2bc
Therefore,
cos (A) = (3^2 + 7^2 - 5^2) /(2*3*7)
cos (A) = (9 + 49 - 25) /(42)
cos (A) = (33) /(42)
cos (A) = 0.785714286
A = arccos(0.785714286)
A = 38.213210675°
A = 38°
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