The measure of angle A to the nearest degree is 40 degrees.
Sine law can be used to find the measure of angle A in the triangle.
Therefore,
a / sin A = b / sin B
where
a =210
b = 164
A = ?
B = 30 degrees
Hence,
210 / sin A = 164 / sin 30
cross multiply
0.5 × 210 = 164 sin A
sin A = 105 / 164
sin A = 0.64024390243
A = sin⁻¹ 0.64024390243
A = 39.7918194996
A = 40 degrees.
In triangle ABC, angle B = 30°, a = 210, and b = 164. The measure of angle A to the nearest degree is.
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