Math Problem Statement

What is the answer to this question?

Solve for b in the given triangle with angles 43°, 69°, and b.

Solution

To solve for angle bb in the given triangle, we can use the fact that the sum of the interior angles of any triangle is always 180180^\circ.

We know the other two angles:

  • 4343^\circ
  • 6969^\circ

Thus, the sum of these two angles is: 43+69=11243^\circ + 69^\circ = 112^\circ

Now, to find angle bb, subtract this sum from 180180^\circ: b=180112=68b = 180^\circ - 112^\circ = 68^\circ

So, b=68b = 68^\circ.

Would you like more details or have any questions?

Here are 5 related questions to explore:

  1. How do you solve for angles in non-right triangles?
  2. What is the difference between interior and exterior angles in a triangle?
  3. How do we calculate angles in an isosceles triangle?
  4. What properties do all triangles share regarding their angles?
  5. How can you verify the angles in any type of triangle?

Tip: Remember that the sum of the angles in any triangle is always 180180^\circ.

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Math Problem Analysis

Mathematical Concepts

Triangle Angle Sum
Basic Geometry

Formulas

Sum of interior angles in a triangle = 180°

Theorems

Triangle Sum Theorem

Suitable Grade Level

Grades 6-8