Math Problem Statement

Monique has a triangular picture frame. She used a protractor to measure one angle at 125° and a second angle at 27°. What is the measure of the third angle?

Solution

To find the measure of the third angle xx in the triangle, we can use the fact that the sum of the angles in any triangle is always 180°.

The angles provided are 125° and 27°.

Let's set up the equation:

125+27+x=180125^\circ + 27^\circ + x = 180^\circ

Now, solve for xx:

x=18012527x = 180^\circ - 125^\circ - 27^\circ

x=180152x = 180^\circ - 152^\circ

x=28x = 28^\circ

Therefore, the measure of the third angle is 28°.

The correct answer is B. 28°.

Would you like more details, or do you have any questions about this?

Here are 5 follow-up questions related to this topic:

  1. What is the general formula for the sum of angles in a polygon?
  2. How do you classify a triangle with an angle larger than 90°?
  3. What is the difference between an acute and obtuse triangle?
  4. Can a triangle have more than one obtuse angle? Why or why not?
  5. How would you calculate the missing angle if given an exterior angle of the triangle?

Tip: Always remember that the sum of the angles in any triangle is 180°, and this is key to solving many triangle-related problems.

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Math Problem Analysis

Mathematical Concepts

Geometry
Triangle Properties
Angle Sum Property

Formulas

Sum of interior angles of a triangle = 180°

Theorems

Triangle Angle Sum Theorem

Suitable Grade Level

Grades 6-8