1)In the given figure, two straight line PQ and RS intersect at a O.
If ∠POS = 125°, find the measure of each of the angles:
2) Find the supplement and complement of 25° and 79°.
3)Set up an equation and solve the equation:
a) Thrice a number when increased by 5 gives 44. Find the number.
b) Laxmi’s father is 58 years old. He is 4 years older than three times Laxmi’s age. (Take Laxmi’s age to be y years) What is Laxmi s age?
4)Solve the equation:
a) 2 ( a + 10) = 56
b) 8x - 7 = 6x + 15
c) x7 = 2614
d) x + 57 = 16
5)In the given figure, l || m and t is a transversal.
If ∠5 = 45°, find the measure of each of the angles
∠1, ∠3, ∠4 and ∠8.
6) Find the angles of a triangle which are in the ratio 4 : 3 : 2.
7) The hypotenuse of a right triangle is 26 cm long. If one of the remaining two sides is 10 cm long, find the length of the other side.
8) The lengths of the sides of triangles are given below. Which of them are right-angled?
(i) a = 15 cm, b = 20 cm and c = 25 cm
(ii) a = 9 cm, b = 12 cm and c = 16 cm
9) An exterior angle of a triangle measures 110° and one of its interior opposite angle is 70° Find the other interior opposite angle.
10) Find the perimeter of the rectangle whose length is 12 cm and a diagonal is 13 cm.
Answers
Answer:
1)In the given figure, two straight line PQ and RS intersect at a O.
If ∠POS = 125°, find the measure of each of the angles:
2) Find the supplement and complement of 25° and 79°.
3)Set up an equation and solve the equation:
a) Thrice a number when increased by 5 gives 44. Find the number.
b) Laxmi’s father is 58 years old. He is 4 years older than three times Laxmi’s age. (Take Laxmi’s age to be y years) What is Laxmi s age?
4)Solve the equation:
a) 2 ( a + 10) = 56
b) 8x - 7 = 6x + 15
c) x7 = 2614
d) x + 57 = 16
5)In the given figure, l || m and t is a transversal.
If ∠5 = 45°, find the measure of each of the angles
∠1, ∠3, ∠4 and ∠8.
6) Find the angles of a triangle which are in the ratio 4 : 3 : 2.
7) The hypotenuse of a right triangle is 26 cm long. If one of the remaining two sides is 10 cm long, find the length of the other side.
8) The lengths of the sides of triangles are given below. Which of them are right-angled?
(i) a = 15 cm, b = 20 cm and c = 25 cm
(ii) a = 9 cm, b = 12 cm and c = 16 cm
9) An exterior angle of a triangle measures 110° and one of its interior opposite angle is 70° Find the other interior opposite angle.
10) Find the perimeter of the rectangle whose length is 12 cm and a diagonal is 13 cm.