Sum and Difference of Angles: Is it possible...?

Isosceles triangleUsing variablesCalculate Angles in QuadrilateralsIdentifying and defining elementsUsing quadrilateralsAngle bisectorApplying the formulaGenerate a random angleIdentify the greater valueUsing angles in a triangleFinding the size of angles in a triangle
Question 1

ABC is an obtuse triangle.

\( ∢C=\frac{1}{2}∢A \)\( \)

\( ∢B=3∢A \)

Is it possible to calculate \( ∢A \)?

If so, then what is it?

AAABBBCCC

Question 2

ABC is a right triangle.

\( ∢A=20° \)

Is it possible to calculate the size of \( ∢C \)?

If so, what is it?

AAACCCBBB20°

Question 3

Given the triangle ABC.

Dado \( ∢B>90° \) , \( ∢A=20° \)

Is it possible to calculate a ? \( ∢B \)?

If so, find how much the angle is equal to.

\( \)AAABBBCCC20°

Examples with solutions for Sum and Difference of Angles: Is it possible...?

Exercise #1

ABC is an obtuse triangle.

∢C=12∢A ∢C=\frac{1}{2}∢A

∢B=3∢A ∢B=3∢A

Is it possible to calculate ∢A ∢A ?

If so, then what is it?

AAABBBCCC

Video Solution

Answer

Yes, 40°.

Exercise #2

ABC is a right triangle.

∢A=20° ∢A=20°

Is it possible to calculate the size of ∢C ∢C ?

If so, what is it?

AAACCCBBB20°

Video Solution

Answer

Yes, 70°.

Exercise #3

Given the triangle ABC.

Dado ∢B>90° , ∢A=20° ∢A=20°

Is it possible to calculate a ? ∢B ∢B ?

If so, find how much the angle is equal to.

AAABBBCCC20°

Video Solution

Answer

No