Angle Theorems (Leaving Cert Mathematics): Quizzes

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Angle Theorems
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What are vertically opposite angles?

Angles opposite when 2 lines intersect

What is true about vertically opposite angles?

They are always equal

Two lines intersect. If one angle is 45∘45^\circ, what is the adjacent angle?

135∘135^\circ

Where are alternate angles located when a transversal crosses two lines?

Opposite sides, inside the lines

When are alternate angles equal?

When the two lines are parallel

If alternate angles formed by a transversal are equal, what does this tell us?

The lines are parallel

What is the sum of interior angles in any triangle?

180∘180^\circ

A triangle has angles 50∘50^\circ and 60∘60^\circ. What is the third angle?

70∘70^\circ

What does an exterior angle of a triangle equal?

Sum of 2 non-adjacent interior angles

An exterior angle is 120∘120^\circ and one interior opposite is 50∘50^\circ. Find the other.

70∘70^\circ

Lines intersect. One angle is 45∘45^\circ. What are all four angles?

45∘,135∘,45∘,135∘45^\circ, 135^\circ, 45^\circ, 135^\circ

A transversal crosses parallel lines with alternate angle 70∘70^\circ. Find xx.

70∘70^\circ

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