Question

you may assume lines that appear straight are straight, but the figure is not otherwise drawn to scale. answer attempt 2 out of 3 m∠c = submit answer

Explanation:

Step1: Identify angle - sum property

The sum of interior angles of a triangle is 180°. Also, note that ∠BAD and the 71° - angle are vertical angles, so ∠BAD = 71°.

Step2: Let ∠C=x, ∠B = ∠BAD = 71° (marked as equal in the figure), and ∠BAC = 90° (since it looks like a right - angle and no other information contradicts it)

In △ABC, using the angle - sum property of a triangle: ∠C+∠B + ∠BAC=180°.

Step3: Substitute the known values

x + 71°+90° = 180°.

Step4: Solve for x

x=180°-(71° + 90°)=19°.

Answer:

19