Math Problem Statement

What is the value of angle x in the given right triangle where one angle is 18°?

Solution

In this diagram, there’s a right angle at the bottom left corner, and the angle marked as 1818^\circ is adjacent to angle xx. Since the angles in a right triangle sum up to 9090^\circ, we can find xx as follows:

x=9018=72x = 90^\circ - 18^\circ = 72^\circ

So, x=72x = 72^\circ.

Would you like a deeper explanation or have any questions about this solution?


  1. What is the sum of angles in a triangle?
  2. How do complementary angles work in right triangles?
  3. Why is subtracting from 90 degrees essential here?
  4. How do trigonometric functions apply to this type of triangle?
  5. Can this approach be applied to all right-angle triangles?

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

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Math Problem Analysis

Mathematical Concepts

Geometry
Angles
Right Triangles

Formulas

x = 90° - given angle

Theorems

Complementary Angles in Right Triangles

Suitable Grade Level

Grades 6-8