Math Problem Statement

Classify the four angles of the quadrilateral.

Solution

To classify the four angles of the given quadrilateral:

  • Angle A (∠A) is labeled as 70°, which is acute (since an acute angle is less than 90°).
  • Angle B (∠B) is labeled as 140°, which is obtuse (since an obtuse angle is between 90° and 180°).
  • Angle C (∠C) is labeled as 60°, which is acute (since it's less than 90°).
  • Angle D (∠D) is labeled as 90°, which is a right angle (since it's exactly 90°).

So, the classification would be:

  1. ∠A: Acute
  2. ∠B: Obtuse
  3. ∠C: Acute
  4. ∠D: Right

Would you like further details or explanations on any part of this?

Here are five related questions for deeper exploration:

  1. How do you classify angles when given different degrees?
  2. What is the sum of the interior angles of any quadrilateral?
  3. How can you determine the type of a quadrilateral based on its angles?
  4. What are some examples of quadrilaterals with different angle combinations?
  5. How can adjacent angles help determine the overall shape of a polygon?

Tip: The sum of the interior angles of any quadrilateral is always 360°, which can help in cross-checking the given angles!

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometry
Angle Classification
Quadrilaterals

Formulas

-

Theorems

The sum of the interior angles of a quadrilateral is always 360°.

Suitable Grade Level

Grades 6-8