Question

0.1) Write the correct answer in each of the following.
10marks

1) Three angles of a quadrilateral are 75°, 90° and 750, then the fourth angle is
(a) 90°
(b) 95° (c) 105 (d) 120°

2) AD is a diameter of a circle and AB is a chord. If AD= 34 cm, AB = 30 cm, the distance
of AB from the centre of the circle is
(a) 17 cm (b) 15 cm (c) 4 cm (d) 8 cm

3) An isosceles right triangle has area 8 cm. The length of its hypotenuse is
(a) 132 cm (b) V16 cm (c) 148 cm (d) 24

4) With the help of a ruler and a compass it is not possible to construct an angle of
(a) 37.5° (b) 40° (c) 22.5° (d) 67.5°

5) In figure, if AOB is a diameter of the circle and AC = BC, then ZCAB is equal to
(a) 30°
(b) 60° (c) 90° (d) 45°

6) The construction of AABC, given that BC = 6 cm, B = 45° is not possible when
difference of AB and AC is equal to
(a) 6.9 cm (b) 5.2 cm (c) 5.0 cm (d) 4.0 cm

7) The area of an equilateral triangle with side 213 cmn is
(a) 5.196 cm (b) 0.866 cm (3.496 cm (d) 1.732

8) A diagonal of a rectangle is inclined to one side of the rectangle at 25°. The acute angle
between the diagonals is
(b) 50° (c) 40° (d) 25°

9) The length of each side of an equilateral triangle having an area of 9V3 cm is
(a) 8 cm
(b) 36 cm (c) 4 cm (d) 6 cm

10) The construction of a AABC, given that BC = 3 cm, ZC = 60° is possible when
difference of AB and AC is equal to
(a) 3.2 cm (b) 3.1 cm (c) 3 cm (d) 2.8 cm
​

Answer 1

Answer:

1) 120°

Step-by-step explanation:

75° +90° + 75° + fourth Angle = 360°

240° + fourth Angle =360°

fourth Angle = 360°-240°

fourth Angle = 120°