Question

part 3 of 3
solve the triangle.
a = 3, b = 7, c = 10°

c ≈ 4.1
(do not round until the final answer. then round to the nearest tenth as needed.)
a ≈ 7°
(do not round until the final answer. then round to the nearest degree as needed.)
b = □°
(do not round until the final answer. then round to the nearest degree as needed.)
help me solve this view an example get more help -
review progress question 28 of 35 back

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So \(A + B + C = 180^\circ\).

Step2: Substitute known angles

We know \(A = 7^\circ\) and \(C = 10^\circ\). Substitute into the formula: \(7^\circ + B + 10^\circ = 180^\circ\).

Step3: Solve for B

Simplify the left side: \(B + 17^\circ = 180^\circ\). Subtract \(17^\circ\) from both sides: \(B = 180^\circ - 17^\circ = 163^\circ\).

Answer:

\(163\)