Math Problem Statement

Find the value of x in the linear pair of angles where one angle measures 70°.

Solution

This is an image of two adjacent angles forming a linear pair. Since a linear pair of angles is supplementary, their sum is always 180°.

Given: x+70=180x^\circ + 70^\circ = 180^\circ

Solving for xx:

x=18070x = 180^\circ - 70^\circ

x=110x = 110^\circ

Thus, x=110x = 110^\circ.

Would you like a detailed explanation on linear pairs and supplementary angles?

Here are some related questions for further exploration:

  1. What are complementary and supplementary angles?
  2. How do you find missing angles in a triangle?
  3. What is the sum of interior angles in a polygon?
  4. How do vertical angles relate to each other?
  5. How can you prove that a straight angle is always 180°?

Tip: A linear pair of angles always sums to 180°, which is a useful property in geometry!

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Math Problem Analysis

Mathematical Concepts

Linear Pair of Angles
Supplementary Angles

Formulas

Sum of linear pair = 180°

Theorems

Linear Pair Theorem

Suitable Grade Level

Grades 6-8