Math Problem Statement

What is the missinn angle

What is the missing angle?

Solution

To find the missing angle in the image, we can use the properties of triangles and adjacent angles. Here's the approach:

  1. For the left triangle:

    • The angles given are 6060^\circ, 6565^\circ, and the third angle (unknown, but easy to calculate because the sum of angles in a triangle is 180180^\circ).
    • So, the third angle = 1806065=55180^\circ - 60^\circ - 65^\circ = 55^\circ.
  2. For the middle triangle:

    • One of the angles is marked 5050^\circ.
    • The angle adjacent to 6565^\circ from the first triangle (i.e., the bottom right angle of the middle triangle) must be 18065=115180^\circ - 65^\circ = 115^\circ because adjacent angles on a straight line sum to 180180^\circ.
    • So, the third angle in this triangle = 18050115=15180^\circ - 50^\circ - 115^\circ = 15^\circ.
  3. For the right triangle:

    • The angles given

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangles
Angle Sum Theorem

Formulas

Sum of angles in a triangle = 180°

Theorems

Adjacent angles on a straight line sum to 180°
Angle Sum Theorem for Triangles

Suitable Grade Level

Grades 6-8