Math Problem Statement

Find the measure of the missing angle, given one angle is 26° and the total is a right angle.

Solution

The diagram shows a right angle and an additional angle of 2626^\circ. The goal is to find the missing angle, aa.

Since the angles form a right angle (90°) in total, we can calculate the missing angle by subtracting the given angle from 90°.

a=9026=64a = 90^\circ - 26^\circ = 64^\circ

Therefore, the measure of the missing angle aa is 6464^\circ.

Would you like further details or have any questions?

Here are some related questions you might find useful:

  1. How do you find the measure of angles in different types of triangles?
  2. What is the sum of angles in a triangle?
  3. How can you use complementary and supplementary angles in solving problems?
  4. How do you solve for an unknown angle in a polygon?
  5. What are the properties of different types of angles (acute, obtuse, right)?

Tip: Always check if the angles form any special type (like complementary or supplementary) to simplify calculations.

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Math Problem Analysis

Mathematical Concepts

Geometry
Angles

Formulas

Sum of angles in a right angle = 90°

Theorems

Complementary angles theorem

Suitable Grade Level

Grades 6-8