Math Problem Statement

Work out angle x in each triangle by using the given angles.

Solution

Let’s solve each triangle individually to find the value of angle xx in each case, using the triangle sum theorem, which states that the sum of the angles in a triangle is always 180180^\circ.

  1. Top Left Triangle:

    • Given angles: 4646^\circ and 4545^\circ
    • Calculation: x=1804645=89x = 180^\circ - 46^\circ - 45^\circ = 89^\circ
    • Answer: x=89x = 89^\circ
  2. Top Middle Triangle:

    • Given angles: 142142^\circ and 7777^\circ
    • Calculation: x=18014277=39x = 180^\circ - 142^\circ - 77^\circ = -39^\circ (Error as sum exceeds 180°, check context or assumptions)

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangles
Angle Sum Property

Formulas

Sum of angles in a triangle = 180°

Theorems

Triangle Sum Theorem

Suitable Grade Level

Grades 6-8