Question

the measures of the angles of a triangle are shown in the figure below. solve for x.

(figure of a triangle with angles x°, 81°, and 40°)

answer attempt 1 out of 2
x = submit answer

Explanation:

Step1: Recall the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(x + 81+40=180\).

Step2: Solve the equation for \(x\)

Simplify the left - hand side of the equation: \(x+121 = 180\).
Subtract 121 from both sides: \(x=180 - 121\).

Answer:

\(x = 59\)