Question

the measures of the angles of a triangle are shown in the figure below. solve for x.
(there is a triangle image with angles 49°, x°, and 78°)
answer attempt 1 out of 2
x = input box submit answer

Explanation:

Step1: Use the triangle angle - sum theorem

The sum of the interior angles of a triangle is \(180^{\circ}\). So, \(x + 40+70=180\).

Step2: Simplify the left - hand side of the equation

\(x+(40 + 70)=180\), which simplifies to \(x + 110=180\).

Step3: Solve for \(x\)

Subtract \(110\) from both sides of the equation: \(x=180 - 110\).

Answer:

\(70\)