Question

find the unknown angle measure. figure is not to scale. 37° 76° x = ° question help: video

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of the interior angles of a triangle is 180°.

Step2: Set up an equation

Let the three angles of the triangle be \(37^{\circ}\), \(76^{\circ}\), and \(x^{\circ}\). Then \(37 + 76+x=180\).

Step3: Simplify the left - hand side

\(37+76 = 113\), so the equation becomes \(113 + x=180\).

Step4: Solve for \(x\)

Subtract 113 from both sides: \(x=180 - 113\).
\(x = 67\).

Answer:

67