Respuesta :

Cosine and sine rule are used to measure sides and angles. the measure of angle B is 34.6 degrees

Cosine rule

According to cosine rule

BC² = 9.3²+15.5² - 2(9.3)(15.5)cos125.5
BC² =326.74 - 288.3cos125.5

BC² = 326.74 +167.41

BC = √494.15

BC = 22.23

Using the sine rule

15.5/sin<B = 22.23/sin125.5
sin<B = 12.62/22.23
sin<B = 0.5676
<B = 34.6 degrees

Hence the measure of angle B is 34.6 degrees

Learn more on cosine rule here: https://brainly.com/question/23720007

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