Math Problem Statement

Find the value of x in a right triangle where one of the angles is 72°.

Solution

The problem asks to find the value of xx in a right triangle, where one of the angles is 7272^\circ.

In a right triangle, the sum of the angles must be 180180^\circ. Since one angle is 9090^\circ (the right angle) and another angle is 7272^\circ, the third angle xx can be found as follows:

x=1809072x = 180^\circ - 90^\circ - 72^\circ

x=18x = 18^\circ

So, the value of xx is 1818^\circ.

Would you like more details on this calculation or have any questions?

Here are 5 related questions for further practice:

  1. If the given angle was 4545^\circ, what would the value of xx be?
  2. What would be the value of the third angle if the given angle was 6060^\circ?
  3. How do you calculate the hypotenuse of a right triangle given two angles and one side?
  4. Can you find xx if one of the angles is 3030^\circ?
  5. What is the sum of all angles in any triangle?

Tip: In any triangle, the sum of the interior angles is always 180180^\circ. This property is crucial for solving many geometric problems.

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangle Angles

Formulas

Sum of angles in a triangle: 180°

Theorems

Triangle Angle Sum Theorem

Suitable Grade Level

Grades 6-8