Math Problem Statement

Find the value of x given a triangle with two angles labeled x and one angle labeled 2x + 110°.

Solution

The problem requires finding the value of xx in a triangle, where the angles are labeled as follows:

  1. Two angles are each labeled xx degrees.
  2. One angle is labeled 2x+1102x + 110^\circ.

Solution:

In any triangle, the sum of the interior angles is 180180^\circ. We can set up the following equation based on this property:

x+x+(2x+110)=180x + x + (2x + 110) = 180

Simplify the equation:

  1. Combine like terms: 4x+110=1804x + 110 = 180

  2. Subtract 110 from both sides: 4x=704x = 70

  3. Divide by 4: x=17.5x = 17.5

Answer:

The value of xx is 17.517.5^\circ.

Would you like further details, or do you have any questions?


Here are some related questions for further practice:

  1. What is the sum of the interior angles in a quadrilateral?
  2. How do we determine if a triangle is isosceles or scalene based on angles?
  3. What is the exterior angle theorem for triangles?
  4. How do we calculate the missing angle if given two angles in a triangle?
  5. What properties do equilateral triangles have?

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

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Algebra
Angle Sum Property of Triangles

Formulas

Angle sum in a triangle: x + y + z = 180°

Theorems

Triangle Angle Sum Theorem

Suitable Grade Level

Grade 7