Parts of a Triangle: Identify the greater value

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Question 1

ΔABC is a scalene triangle with acute angles.

Which angle is larger,
$\( ∢C \)$ or $\( ∢A \)$ ?

Question 2

ABC is an isosceles triangle

( $\( ∢A \)$ is the predominant angle).

Which angle is larger, $\( ∢B \)$ or $\( ∢C \)$ ?

Question 3

Triangle ABC is an obtuse triangle.

Which angle is larger, $\( ∢B \)$ or $\( ∢A \)$ ?

Question 4

ABC is an equilateral triangle.

Which angle is larger, $\( ∢B \)$ or $\( ∢A \)$ ?

Question 5

The triangle ABC is a right triangle.

Which angle is larger, $\( ∢B \)$ or $\( ∢A \)$ ?

Examples with solutions for Parts of a Triangle: Identify the greater value

Exercise #1

ΔABC is a scalene triangle with acute angles.

Which angle is larger,
$∢C$ or $∢A$ ?

Video Solution

Answer

There is no way to know.

Exercise #2

ABC is an isosceles triangle

( $∢A$ is the predominant angle).

Which angle is larger, $∢B$ or $∢C$ ?

Video Solution

Answer

$∢C=∢B$

Exercise #3

Triangle ABC is an obtuse triangle.

Which angle is larger, $∢B$ or $∢A$ ?

Video Solution

Answer

$∢B>∢A$

Exercise #4

ABC is an equilateral triangle.

Which angle is larger, $∢B$ or $∢A$ ?

Video Solution

Answer

$∢A=∢B$

Exercise #5

The triangle ABC is a right triangle.

Which angle is larger, $∢B$ or $∢A$ ?

Video Solution

Answer

$∢A>∢B$