Question

Angles of Triangles Quick Check 4 of 54 of 5 Items Question Use the image to answer the question. Use the properties of exterior angles of triangles to find angle b . (1 point) Responses 232° 232 degrees 52° 52 degrees 38° 38 degrees 92°

Answer 1

To find angle \( b \) using the properties of exterior angles of triangles, we can use the fact that an exterior angle is equal to the sum of the two opposite interior angles.

Assuming you have a triangle where one of the exterior angles measures \( 232° \), we use the formula:

\[
\text{Exterior Angle} = \text{Angle A} + \text{Angle B}
\]

If we assume \( 232° \) is the exterior angle we are considering, and we let angles \( A \) and \( B \) be two interior angles of the triangle, we have:

\[
232° = A + B
\]

To find angle \( b \) (which could either be \( A \) or \( B \)), we need additional information about the triangles or specific values for those angles to reach a conclusion.

However, if \( b \) is one of the angles \( A \) or \( B \), we can determine its value by subtracting the respective angle from \( 232° \) if that angle is known.

Since I don’t have the triangle's angle measures directly, please provide more specific information concerning angles \( A \), \( B \), or the conditions of the triangle, so I can help you further. Based on the given options of \( 232° \), \( 52° \), \( 38° \), and \( 92° \), we also need clarification to narrow it down.

If only considering the provided options without additional detail, the most common value arising from the properties of exterior angles is typically related to \( 180° \) or \( 360° \) properties. If \( b + \text{other angle} + 232° = 360° \), the calculation could lead us there.

If there are angles adding up specifically to reach \( 180° \), that would yield \( b \) complementary to whatever the angles provided sum to.

Please provide more details or angle values to find the correct angle \( b \).