Question

if these two figures are similar, what is the measure of the missing angle? 38° 104° 38°

Explanation:

Step1: Recall angle - sum property of triangles

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

Step2: Recall property of similar triangles

Similar triangles have equal corresponding angles.

Step3: Calculate the missing angle

Let the missing angle be \(x\). We know two angles of the first triangle are 38° and 104°. Using the angle - sum property \(x=180-(38 + 104)\).
\[x=180 - 142=38^{\circ}\]

Answer:

38