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In Fig. 16.19, ABCD is a quadrilateral.
How many pairs of adjacent angles are there?
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In Fig. 16.19, ABCD is a quadrilateral.
How many pairs of opposite angles are there?
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The angles of a quadrilateral are 110°, 72°, 55° and x°. Find the value of x.
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The three angles of a quadrilateral are respectively equal to 110°, 50° and 40°. Find its fourth angle.
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A quadrilateral has three acute angles each measures 80°. What is the measure of the fourth angle?
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A quadrilateral has all its four angles of the same measure. What is the measure of each?
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Two angles of a quadrilateral are of measure 65° and the other two angles are equal. What is the measure of each of these two angles?
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Three angles of a quadrilateral are equal. Fourth angle is of measure 150°. What is the measure of equal angles.
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The four angles of a quadrilateral are as 3 : 5 : 7 : 9. Find the angles.
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If the sum of the two angles of a quadrilateral is 180°. What is the sum of the remaining two angles?
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In Fig. 16.20, find the measure of ∠MPN.
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The sides of a quadrilateral are produced in order. What is the sum of the four exterior angles?
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In Fig. 16.21, the bisectors of ∠A and ∠B meet at a point P. If ∠C = 100° and ∠D = 50°, find the measure of ∠APB.
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In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1 : 2 : 4 : 5. Find the measure of each angle of the quadrilateral.
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In a quadrilateral ABCD, CO and DO are the bisectors of ∠C and ∠D respectively. Prove that \[∠COD = \frac{1}{2}(∠A + ∠B) .\]
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The measure of angles of a hexagon are x°, (x − 5)°, (x − 5)°, (2x − 5)°, (2x − 5)°, (2x + 20)°. Find the value of x.
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In a convex hexagon, prove that the sum of all interior angle is equal to twice the sum of its exterior angles formed by producing the sides in the same order.
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The sum of the interior angles of a polygon is three times the sum of its exterior angles. Determine the number of sided of the polygon.
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Determine the number of sides of a polygon whose exterior and interior angles are in the ratio 1 : 5.
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PQRSTU is a regular hexagon. Determine each angle of ΔPQT.
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