## Math Problem Statement

in an isosceles acute-angled triangle ABC (AC=AB and AB>AC), the measure of the angle between the bisector of the interior angle at vertex B and the normal from the same vertex to the opposite side is 9 degrees. Determine the measures of the interior angles of that triangle

## Solution

## Ask a new question for Free

### By Image

Drop file here or Click Here to upload

## Math Problem Analysis

### Mathematical Concepts

Geometry

Triangle Properties

Angle Bisectors

Perpendicularity

### Formulas

Sum of interior angles of a triangle: A + B + C = 180°

Relationship between base angles in isosceles triangles

Angle bisector theorem: the bisector of an angle divides the opposite side in the ratio of the adjacent sides

### Theorems

Angle Sum Theorem

Isosceles Triangle Theorem

Angle Bisector Theorem

### Suitable Grade Level

Grades 9-12

## Related Recommendation

Solving for Angles in Triangle ABC with Bisectors AP and BP

Determining Angle x in a Triangle Given Geometric Relations

Geometry Problem: Analyzing Isosceles Triangle ΔABC with Angles and Lengths

Find the Angle in Isosceles Triangle ABC Given ∠ABC and ∠BAD

Solving Triangle Angle Relationships with Angle Bisectors