Math Problem Statement

What is the value of x in a triangle where two angles are 35° and 70°?

Solution

We are given a triangle with two known angles: 3535^\circ and 7070^\circ. The goal is to find the value of xx, the third angle.

Steps:

  1. The sum of the interior angles of any triangle is always 180180^\circ.

    35+70+x=18035^\circ + 70^\circ + x = 180^\circ

  2. Simplifying:

    105+x=180105^\circ + x = 180^\circ

  3. Subtract 105105^\circ from both sides:

    x=180105x = 180^\circ - 105^\circ

  4. Thus, x=75x = 75^\circ.

Answer:

The value of xx is 7575^\circ, so the correct option is A.

Would you like further details or have any questions?

Here are 5 related questions:

  1. How do you calculate the interior angles of any polygon?
  2. What is the exterior angle theorem for triangles?
  3. How do you classify triangles based on their angles?
  4. What is the sum of interior angles in a quadrilateral?
  5. How do you calculate angles in isosceles triangles?

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

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Math Problem Analysis

Mathematical Concepts

Geometry
Angles in a Triangle

Formulas

Sum of angles in a triangle = 180°

Theorems

Angle Sum Theorem

Suitable Grade Level

Grades 6-8