Ages 11–13🧮 Mathematics11 verified questions on this shelf

Understanding angles (age 11+)

Apply the properties of angles at a point (360°), on a straight line (180°), and vertically opposite angles to find unknown angles in multi-step problems

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Question 1 of 3

Angles ∠1 and ∠2 are adjacent and form a linear pair (they share a side and their non‑shared sides form a straight line). If ∠1 measures 78°, what is the measure of ∠2?

Question 2 of 3

At a construction site, two steel beams intersect at point P, creating four angles labeled A, B, C, and D in clockwise order. Angles A and C are opposite (vertical) angles. Angle B lies on the same straight line as angle A. The measure of angle A is 2x + 10° and the measure of angle B is 70°. What is the measure of angle C?

Question 3 of 3

At a crossroads, two straight roads intersect at point O, forming four angles labeled ∠A, ∠B, ∠C, and ∠D in clockwise order. ∠A and ∠C are opposite (vertical) angles. ∠A and ∠B are adjacent and lie on a straight line, so they form a linear pair. The measure of ∠B is (3x + 15)°, and the measure of ∠D is (2x + 30)°. What is the measure of ∠C?

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