Math Problem Statement

please solve

Find the value of x in a triangle where two angles are 58° and 35°.

Solution

To solve for xx in the triangle, we can use the fact that the sum of the angles in a triangle is always 180180^\circ.

The given angles are:

  • 5858^\circ
  • 3535^\circ
  • xx

Using the triangle angle sum property: x+58+35=180x + 58 + 35 = 180

Simplify the equation: x+93=180x + 93 = 180

Subtract 93 from both sides: x=18093x = 180 - 93 x=87x = 87

So, the value of xx is 8787^\circ.

Answer: x=87x = 87^\circ

Would you like further details or have any questions?

Here are some related questions that might interest you:

  1. What is the sum of angles in a quadrilateral?
  2. How do you calculate the missing angle in any polygon?
  3. How would you solve if one angle is given as a variable?
  4. Can you calculate the missing angle if the triangle is not scalene?
  5. What are some examples where the triangle angle sum property does not apply?

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

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangle Properties
Angle Sum Property

Formulas

Sum of interior angles of a triangle = 180°

Theorems

Triangle Angle Sum Theorem

Suitable Grade Level

Grades 6-8