Math Problem Statement

Find the value of b°?

Solution

To solve for the value of bb^\circ in the given image, we can use the properties of angles formed by intersecting lines.

The image shows two angles: one is 110110^\circ and the other is bb^\circ. The angle marked 66^\circ is adjacent to bb^\circ and is part of a linear pair with the unknown angle bb^\circ.

Steps:

  1. Identify Linear Pair:

    • The angles 110110^\circ and bb^\circ form a linear pair because they are on the same line and adjacent to each other.
    • The sum of angles in a linear pair is always 180180^\circ.
  2. Calculate bb^\circ: b+110=180b^\circ + 110^\circ = 180^\circ b=180110b^\circ = 180^\circ - 110^\circ b=70b^\circ = 70^\circ

So, the value of bb^\circ is 7070^\circ.

Would you like further details or have any other questions?

Related Questions:

  1. What is the sum of angles in a triangle?
  2. How do you calculate the unknown angle when two angles of a triangle are given?
  3. What are supplementary angles?
  4. Can you explain alternate interior angles?
  5. How do angles around a point add up?

Tip: Remember that angles on a straight line always add up to 180180^\circ.

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Math Problem Analysis

Mathematical Concepts

Geometry
Angles
Linear Pair

Formulas

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Theorems

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Suitable Grade Level

Grades 6-8