Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

find the measure of angle b. triangle with vertices a, b, c; angle at a…

Question

find the measure of angle b.
triangle with vertices a, b, c; angle at a is 50°, angle at c is 35°, side ac = 13
b = ?° a = c =

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\).

Step2: Calculate angle B

Let \( \angle A = 50^\circ \), \( \angle C = 35^\circ \), and \( \angle B = x \). Then \( x + 50^\circ + 35^\circ = 180^\circ \). Solving for \( x \), we get \( x = 180^\circ - 50^\circ - 35^\circ \).
\( x = 95^\circ \)

Answer:

\( 95 \)