# FIND MISSING ANGLES IN TRIANGLES AND QUADRILATERALS WORKSHEET

Find missing angles in triangles and quadrilaterals worksheet :

Here we are looking into some practice problems on finding missing angles in triangles and quadrilaterals.

## Finding missing angles in triangles - Problems

Question 1 :

Find the missing angles of the following triangle

Question 2 :

Find the missing angles of the following quadrilateral

Question 3 :

Find the missing angles of the following quadrilateral

Question 4 :

Find the missing angles of the following square

Question 1 :

Find the missing angles of the following triangle

Solution :

In any triangle, the sum of interior angles of the triangles is 180 degree.

From the given triangle, we come to know that angle B is 90 degree.

∠A + ∠B + ∠C  =  180°

40° + 90° + ∠C  =  180°

130° + ∠C  =  180°

∠C  =  180° - 130°

∠C  =  50°

Hence the missing angle is 50°.

Question 2 :

Find the missing angles of the following quadrilateral

Solution :

In a trapezium, the angles at the ends of each non-parallel side are supplementary.

∠C + ∠D  =  180°

120° + ∠D  =  180°

∠D  =  180° - 120°

∠D  =  60°

Hence the missing angle is 60°.

Question 3 :

Find the missing angles of the following quadrilateral

Solution :

In a quadrilateral, the sum of interior angles of a quadrilateral is 360 degree.

∠D + ∠E ∠F ∠G   =  360°

87° + 110° + 65° + ∠G   =  360°

262° ∠G   =  360°

∠G   =  360° - 262°

∠G   =  98°

Question 4 :

Find the missing angles of the following square

Solution :

In a square all angles are right angles.

∠S   =  16 x - 6  =  90°

16x - 6  =  90°

16x  =  90° + 6

16x  =  96°

Divide by 16 on both sides

16x/16  =  96/16

x  =  6°

After having gone through the stuff given above, we hope that the students would have understood "Find missing angles in triangles and quadrilaterals worksheet".

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