Answered

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Find Measure of angle B (m
18. a = 7 m, b = 5 m, m∠A = 45°

Find Measure Of Angle B M 18 A 7 M B 5 M MA 45 class=

Sagot :

The value of the variable a is 19.66 and the value of the valriable b is 20.21.

What is the law of sines?

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by the law of sines,

[tex]\rm \dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

Remember that we took

The sine angle is the length of the side opposite to that angle.

Then the third angle of the triangle will be

x + 75 + 35 = 180

                x = 70

[tex]\rm \dfrac{\sin 75^o}{b} = \dfrac{\sin 35^o}{12} = \dfrac{\sin 70^o}{a}[/tex]

From the first two-term, we have

sin 75 / b = sin 35 / 12

b = 20.21

From the last two-term, we have

sin 70 / a = sin 35 / 12

a = 19.66

Learn more about the law of sines here:

https://brainly.com/question/17289163

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