Math Problem Statement

If the measures of two angles of a triangle are 88° and 21°, what is the measure of the third angle?

Solution

To find the measure of the third angle in a triangle, we can use the fact that the sum of the interior angles of a triangle is always 180180^\circ.

Given:

  • First angle = 8888^\circ
  • Second angle = 2121^\circ

Let's calculate the third angle:

Third angle=180(88+21)=180109=71\text{Third angle} = 180^\circ - (88^\circ + 21^\circ) = 180^\circ - 109^\circ = 71^\circ

So, the measure of the third angle is 7171^\circ.

Would you like more details or have any questions?

Here are some related questions:

  1. What is the sum of interior angles for a quadrilateral?
  2. Can the third angle in a triangle be obtuse if the other two angles are both acute?
  3. How do you determine if a triangle is acute, obtuse, or right based on its angles?
  4. What is the measure of the third angle if two angles are both 4545^\circ?
  5. Can the angles of a triangle be greater than 9090^\circ?

Tip: The sum of interior angles for any nn-sided polygon is (n2)×180(n - 2) \times 180^\circ.

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Math Problem Analysis

Mathematical Concepts

Triangle
Angle Sum Property

Formulas

Sum of interior angles in a triangle = 180°

Theorems

Angle Sum Theorem for Triangles

Suitable Grade Level

Grade 6-8