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A day full of math games & activities. Find one near you.
When 2 lines cross, 2 pairs of vertical angles are formed. What is the sum of all 4 angles?
180°
270°
360°
540°
Solution:
Two lines that intersect each other form two pairs of supplementary angles.
∠A and ∠C are vertically opposite angles.
∠B and ∠D are vertical angles.
The two angles which add up to 180° are the supplementary angles.
The first pair of supplementary angles - 2 angles add up to 180°
∠A + ∠B = 180°
The second pair of supplementary angles - 2 angles add up to 180°
∠C + ∠D = 180°
As there are a total of 4 angles
∠A + ∠B + ∠C + ∠D = 360°
Therefore, the sum of all 4 angles is 360°.
When 2 lines cross, 2 pairs of vertical angles are formed. What is the sum of all 4 angles?
180°
270°
360°
540°
Summary:
When 2 lines cross, 2 pairs of vertical angles are formed. The sum of all 4 angles is 360°.