Q6 of 24 Page 16

The three angles of a quadrilateral are respectively equal to 110°, 50° and 40°. Find tits fourth angle.

Sum of angles of a quadrilateral is 360°


Let the fourth angle is x°


110° + 50° + 40° + x° = 360°


x° = 360° - 200°


x° = 160°


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4

In Fig. 16.19, ABCD is a quadrilateral.


(i) Name a pair of adjacent sides.


(ii) Name a pair of opposite sides.


(iii) How many pairs of adjacent sides are there?


(iv) How many pairs of opposite sides are there?


(v) Name a pair of adjacent angles.


(vi) Name a pair of opposite angles.


(vii) How many pairs of adjacent angles are there?


(viii) How many pairs of opposite angles are there?

 5

The angles of a quadrilateral are 110°, 72°, 55° and x°. Find the value of x.

 7

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?