ANGLES OF QUADRILATERALS WORKSHEET

Find the unknown angles of a quadrilateral.

Problem 1 :

Solution

Problem 2 :

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Problem 3 :

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Problem 4 :

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Problem 5 :

Solution

Problem 6 :

One angle of a quadrilateral is 150°and other three angles are equal. What is the measure of each of these equal angles ?

(a) 75° (b) 85° (c) 95° (d) 70°

Solution

Problem 7 :

Four angles of quadrilateral are in the ratio 3:4:5:6. Find its angles.                    Solution

Problem 8 :

Three angles of a quadrilateral are 4 : 6 : 3. If the fourth angle is 100, find the three angles of a quadrilateral.

Solution

Problem 9 :

The sum of two angles of a quadrilateral is 160 the ratio 2 : 3. Find the angles.

Solution

Problem 10 :

What is the maximum number of obtuse angles that a quadrilateral can have ?

(a) 1    (b) 2     (c) 3     (d) 4

Solution

Problem 11 :

In a quadrilateral PQRS, ∠P = 50°, ∠Q = 60°,∠R = 60°. Find ∠S

Solution

Problem 12 :

In a parallelogram PQRS, if ∠P = (3x − 5)° and ∠Q = (2x + 15)°, then find the value of x.

Solution

Problem 13 :

If one angle of a parallelogram is 24° less than twice the smallest angle then, find the largest angle of the parallelogram

Solution

Problem 14 :

In the figure, ABCD is a rhombus. Find x and y.

Solution

Find the unknown values in the following :

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Find m∠1 if m∠G = 80, m∠F = 110 and. m∠H = 74.

Solution

Problem 7 :

In the given figure, ABCD is a parallelogram. Find the values of x, y, z and p.

Solution

Problem 8 :

Find x + y + z + w in the given figure.

Solution

Problem 9 :

If three angles of a quadrilateral are each equal to 75°, the fourth angle is :

(a) 150°    (b) 135°    (c) 45°        (d) 75°

Solution

Problem 10 :

 What is the maximum number of obtuse angles that a quadrilateral can have ?

(a) 1           (b) 2          (c) 3            (d) 4

Solution

Problem 11 :

In the figure, ABCD is a square. If ∠DPC = 80°, then find .

Solution

Problem 12 :

The angle of ∠M, ∠N, ∠O and ∠P of a trapezium MNOP intersect at points W and X respectively. If ∠MPX = 50, ∠NOX = 70, find the measure of the angles a, b, c and d

Solution

Problem 1 :

Solution

Problem 2 :

Solution

Problem 3 :

Solution

Problem 4 :

Solution

Problem 5 :

Solution

Problem 6 :

Find the values of a and b.

Solution

Problem 7 :

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Problem 8 :

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Problem 9 :

find the measures of the numbered angles in rhombus DEFG.

Solution

Problem 10 :

Solution

Problem 11 :

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Problem 12 :

Solution

Problem 13 :

The measures of the interior angles of a quadrilateral are x°, 3x°, 5x°, and 7x°. Find the measures of all the interior angles.

Solution

Problem 14 :

Find the values of x and y that make the quadrilateral a parallelogram

Solution