Math Problem Statement

Find the missing angle in a right-angled triangle where one angle is 40°.

Solution

The image shows a right-angle triangle with one of the angles marked as 4040^\circ. Since one angle is 9090^\circ (the right angle) and the sum of the angles in any triangle is 180180^\circ, we can calculate the missing angle.

Step-by-step solution:

  1. The sum of the angles in a triangle is 180180^\circ.
  2. One angle is 9090^\circ (the right angle), and another is 4040^\circ.
  3. The missing angle can be calculated as: Missing angle=1809040=50\text{Missing angle} = 180^\circ - 90^\circ - 40^\circ = 50^\circ

Thus, the missing angle is 5050^\circ.

Let me know if you'd like more details, or if you have any questions.

Here are 5 related questions:

  1. What is the sum of the interior angles in any triangle?
  2. How do you determine if a triangle is right-angled?
  3. Can a triangle have two right angles? Why or why not?
  4. How can you calculate the third angle of a triangle if two angles are known?
  5. What types of triangles have a 9090^\circ angle?

Tip: Always check that the sum of all angles in a triangle equals 180180^\circ, regardless of its type!

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangles
Angles

Formulas

Sum of angles in a triangle: 180°
Right angle: 90°

Theorems

Angle Sum Property of a Triangle

Suitable Grade Level

Grades 6-8