Question

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

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 that \(x = 180^{\circ}-(41^{\circ}+98^{\circ})\). First, calculate \(41^{\circ}+98^{\circ}=139^{\circ}\). Then \(x = 180^{\circ}- 139^{\circ}=41^{\circ}\).

Answer:

\(41^{\circ}\)