Recent Lessons

Show all results for ""

Geometry Angles Relationship Quiz

Choose a study mode

Play Quiz

Study Flashcards

Spaced Repetition

Chat to Lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

What is the relationship between ∠FIH, ∠JIF, and ∠JIH according to the diagram?

∠FIH + ∠JIH = ∠JIF
∠JIH + ∠JIF = ∠FIH
∠FIH + ∠JIF = ∠JIH (correct)
∠FIH - ∠JIF = ∠JIH

Given m∠FIH = x + 131, m∠JIH = 160, and m∠JIF = x + 51, what equation represents the relationship between these angles?

(x + 131) + 160 = (x + 51)
160 + (x + 51) = (x + 131)
(x + 131) - (x + 51) = 160
(x + 131) + (x + 51) = 160 (correct)

Based on the provided equations, what algebraic equation is derived from the relationship of the angles?

x + 182 = 160
2x + 182 = 160 (correct)
2x + 80 = 160
2x + 182 = 0

If we solve the equation derived from the angle relationships, what value is calculated for x?

<p>-11 (D)</p> Signup and view all the answers

Why is the calculated value of x problematic in the context of the angles?

<p>It leads to a negative angle measurement. (A)</p> Signup and view all the answers

Flashcards

Adjacent Angles

Adjacent angles share a common vertex and a common side.

Supplementary angles

Angles that add up to 180 degrees.

Angle Addition Postulate

The sum of the measures of adjacent angles equals the measure of the larger angle they form.

Negative Angle Measure

The measure of an angle cannot be negative.

Signup and view all the flashcards

Error in Problem Statement

When a problem leads to a mathematically impossible result, there might be an error in the problem statement or the given information.