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 ΔABC, ∠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 |