PQRS is a quadrilateral in which ∠P = 300, ∠R = 450, ∠S = 1550 (a) What is the measure of ∠Q?
(b) Name the above quadrilateral (as convex or concave).
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Step-by-step explanation:
(a)
∠P = 30°
∠R = 45°
∠S = 155°
We know sum of internal angles of quadrilateral is 360°
So, ∠Q = 360° - (30° + 45° + 155°) = 360° - 230° = 130°
(b) If the quadrilateral has an interior angle greater than 180°, then it is concave, but here the sum of interior angles are not 180°, so it is convex.
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