Lines and Angles Test

Result

Lines and Angles Test - 6

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Weekly Quiz Competition

Question 1
1 / -0

The number of line segments determined by three given non-collinear points is :

A
two

B
three

C
four

D
infinitely many

Solution

Three because non-collinear points means the point does not lies in a same line
Question 2
1 / -0

An exterior angle of a triangle is 80⁰ and the interior opposite angles are in the ratio 1 : 3. Measure of each inte4rior opposite angle is :

A
40⁰, 120⁰

B
20⁰, 60⁰

C
30⁰, 90⁰

D
30⁰, 60⁰

Solution

let the common ratio is x
the ratio of interior angles are 1 : 3
so angles are x and 3x
x+3 x=80
4 x=80
x=80/4
x=20
so angles are 20⁰ and 60⁰
Question 3
1 / -0

In two interior angles on the same side of a transversal intersecting two parallel lines are in the ratio 5 : 4, then the smaller of the two angles is :

A
100⁰

B
80⁰

C
120⁰

D
60⁰

Solution

We know that sum of two interior angles on the same side of a transversal intersecting two parallel lines is 180⁰

let the common ratio is x

so the angles are 5x ,4x

so 5x + 4x = 180⁰

9x = 180⁰

x = 180⁰/9

x = 20⁰

so the anges are 5x = 100⁰

4x = 80⁰

so smallest angle is 80⁰
Question 4
1 / -0

The number of triangles that can be drawn having angles as 50⁰, 60⁰ and 70⁰ are :

A
Only one

B
Two

C
Infinite

D
None of these

Solution

As we know similar triangles can be drawn for any given triangle.

These similar triangles will have the same angles as the original triangle (ie ∠50⁰,∠60⁰and ∠70⁰) and will be infinite in number.