Question

what is the value of x?
a triangle with vertices b, c, d. angle at b is 91 degrees, angle at c is 33 degrees, angle at d is x degrees. multiple choice options: 56°, 66°, 124°, 236°

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\). So, \(x + 91 + 33 = 180\).

Step2: Solve for x

Simplify the equation: \(x + 124 = 180\). Subtract 124 from both sides: \(x = 180 - 124 = 56\).

Answer:

\(56^\circ\) (corresponding to the first option: \(56^\circ\))