**Lines and Angles Class 9 Worksheet**

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**Lines and Angles Class 9 Worksheet**

**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.

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