Math Problem Statement

find the measure of b

find the measure of b

Solution

The image shows two intersecting lines, where one forms a right angle with a horizontal line, and an angle of 2626^\circ is marked between the horizontal line and an inclined line. The angle labeled bb appears to be the complement of the given 2626^\circ angle.

In this situation, the angles form a right angle. Since the sum of the angles around a point in a right triangle equals 9090^\circ, we can solve for angle bb using the formula: b=9026b = 90^\circ - 26^\circ b=64b = 64^\circ

Thus, the measure of angle bb is 6464^\circ.

Would you like further clarification or additional details?

Here are some related questions:

  1. How would you apply the complementary angle theorem in other problems?
  2. What happens if the angle is larger or smaller than 2626^\circ? How does that affect bb?
  3. Can you explain why the sum of angles in a right triangle always equals 9090^\circ?
  4. What other geometric properties can we infer from this type of angle configuration?
  5. How does this problem change if we are dealing with different types of triangles (e.g., obtuse)?

Tip: Complementary angles are often useful when dealing with right angles. Remember that they always add up to 9090^\circ.

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Math Problem Analysis

Mathematical Concepts

Geometry
Complementary Angles
Angle Relationships

Formulas

b = 90° - 26°

Theorems

Complementary Angle Theorem

Suitable Grade Level

Grades 6-8