**Lines and Angles Class 9 Worksheets**help to assess yourself.

**Lines and Angles Class 9 Worksheet with Answers**

**1.**
If the complement of an angle is equal to the supplement of four times the
angle, then find the measure of the angle.

**2.**
In a Î”ABC, ∠A + ∠B
= 110°*, *∠C + ∠A
= 135*°. *Find ∠A.

**3.** In the given figure, what value of x will make AOB a line?

**4.** In the given figure, AB II ED, find x.

**5.**
Determine the value of x in the given figure if AB II CD II EF.

**6.**
In a triangle, if 4∠A = 3∠B = 12∠C, find all the angles.

**7.**
The angles of a triangle are in the ratio 3 : 7 : 8. Find the angles of the
triangle.

**8.** In the given figure, *l* II *m*. Show that ∠1 + ∠2 – ∠3
= 180°.

**9.** In the given figure, find the value of x.

**10.** Find x, if AB II
CD II EF.

**11.** If a transversal
cuts two parallel straight lines and is perpendicular to one of them, show that
it will be perpendicular to the other line also.

**12.** If two parallel lines are intersected by a transversal, show
that the bisectors of any corresponding angles are parallel.

**13.** If two lines are intersected in such a way that the
bisectors of a pair of corresponding angles are parallel, show that the given
lines are parallel to each other.

**14.** Prove that the bisectors of a pair of alternate angles of
two lines are parallel.

**15.** In the given
figure, TU II SR and TR II SV, then find ∠a and ∠b.

**16.** In the given
figure, prove that ∠P + ∠Q + ∠R + ∠S + ∠T is equal to two right angles.

**17.** In the given
figure, bisector of ∠B and ∠D of a quadrilateral ABCD meet CD and AB produced
at P and Q respectively. Prove that ∠P + ∠Q = (∠ABC + ∠ADC)/2.

**ANSWERS**

1. 30° 2. 65°

3. 30° 4. 26°

5. a. 110° b. 140°

6. 67.5°, 90°, 22.5°

7. 30°, 70°, 80°

8. Do it yourself

9. 109° 10. 20°

11. Do it yourself

12. Do it yourself

13. Do it yourself

14. Do it yourself

15. ∠a = 115°; ∠b
= 40°

16. Do it yourself

17. Do it yourself

Maths Worksheets for Other Chapters of Class 9 |

**1. ****Surface area and volume class 9 worksheets**

**3. ****Area of parallelograms and triangles worksheets**

**4. ****Triangles class 9 worksheets**

**5. ****Number system class 9 worksheets**

**6. ****Polynomials class 9 worksheets**

**7. ****Coordinate geometry class 9 worksheets**

**8. ****Linear equations in two variables class 9 worksheets**

**9. ****Introduction to Euclid’s geometry class 9 worksheets**

**11. ****Quadrilaterals class 9 worksheet**

**12. ****Heron’s formula class 9 worksheet**

**13. ****Statistics class 9 worksheets**

**14. ****Probability class 9 worksheet**

** **

Maths Worksheets for Other Classes |