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QUESTION: 1

From figure, identify the incorrect statement, given that l || m and t is transversal.

Solution:

Angle 2 and 8 are a pair of alternate interior angles, and thus are equal. so they don't form a pair of supplementary angles.

QUESTION: 2

If two parallel lines are intersected by a transversal, then the bisectors of any two corresponding angles are

Solution:

QUESTION: 3

In figure, PQ||RS QPO = 70^{o} ROT = 20^{o}. Find the value of x.

Solution:

QUESTION: 4

Given that AB || CD, intersected by a transversal. ∠1 = (120 -x)° and ∠5 = 5x°, then the measures of ∠1 and ∠5 are

Solution:
Angle1=angle5(corresponding angles)

therefore,

120-x=5x

or,120=5x+x

or,6x=120

or, x=120/6

or,x=20

and, 120-x=120-20=100

and, 5x=5*20=100

hence proved

QUESTION: 5

l, m and n are parallel lines intersected by a transversal p at X, Y and Z respectively. The value of ∠2 will be

Solution:

QUESTION: 6

If AB || CD, CD || EF and y:z = 3:7 then x is

Solution:

It is given that,

Then ∠CON = p

Now CD║EF

So, p = z (alternate interior angle) .. (1)

Also, p + y = 180° (linear pair)

y + z = 180° [ from (1) ]

Put

z = 126°

Also, AB║ CD & MN is transversal. We know that the sum of interior angles on the same side of transversal is supplementry.

x + y = 180°

x + 54° = 180°

x = 180° - 54°

x = 126°

QUESTION: 7

Given that AB || CD, intersected by a transversal, if the complement of ∠5 equals the supplement of ∠4, then the measures of ∠4 and ∠5 are

Solution:

QUESTION: 8

If a transversal intersects two parallel lines, then the consecutive interior angles are

Solution:

QUESTION: 9

Sum of the measure of an angle and its vertically opposite angle is always.

Solution:

QUESTION: 10

In the figure if AB ||CD, ∠APQ = 50° and ∠PRD = 127° then y is equal to

Solution:
X=50,x+y=127(exterior angle theorem)50+y=127y=127-50y=77

QUESTION: 11

In the given figure, the value of y is

Solution:

QUESTION: 12

In the adjoining figure, if PQ || RS, ∠PAB = 45° and ∠ACS = 135°, the value of p and q

Solution:

QUESTION: 13

In the adjoining figure, AB || CD || EF, the value of x is:

Solution:

QUESTION: 14

If two straight lines are perpendicular to a line l, then they are.

Solution:

QUESTION: 15

If two interior angles on the same side of a transversal intersecting two parallel lines in the ratio 2:3 ,then find the larger of two angles.

Solution:

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