The value of angle A is 100 degrees and the measure of side a is 29.2 and b is 20.96.
What is a Triangle?
A triangle is a polygon with three sides, angles, and vertices.
The triangle ABC, has AB = 17, angle ABC = 45 degree, angle ACB = 35 degree.
The measure of angle A can be determined by using the angle sum property.
45 + 35 + A = 180
80 + A = 180
A = 180-80
A = 100 degree.
Using the law of sines to find the length of side a,
a/ sin A = b/ sin B = c/sin C
a/ sin100 = 17/ sin 35
a = 17 * sin 100 / sin35
a = 29.2
Use the law of cosines to find the length of side b.
b² = c² +a² -2ac cos B
b² = (17)² + (29.2)² - 2* 17* 29.2 cos 45
b² = 439.23
b = 20.96
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