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3.03 Quiz: Vertical Angle Relationships
verucal Angle Relationships
ZA and ZB are vertical angles with MZA = X and M ZB = 3x – 60.
What is mZA

Answer 1

In plane geometry, vertical angles are congruent.

The measure of A is 30 degrees

The given parameters are:

$\mathbf{\angle A = x}$

$\mathbf{\angle B = 3x - 60}$

Because angles A and B are vertical angles, then:

$\mathbf{\angle A = \angle B }$

So, we have:

$\mathbf{x = 3x - 60 }$

Collect like terms

$\mathbf{ 3x -x = 60 }$

$\mathbf{ 2x = 60 }$

Divide both sides by 2

$\mathbf{ x = 30 }$

Recall that:

$\mathbf{\angle A = x}$

So, we have:

$\mathbf{\angle A = 30^o}$

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