Linear Pair Axiom

Q. If $\angle a$ and $\angle b$ form a linear pair, how is $\angle a$ related to $\angle b?$

1. $\angle a=90°-\angle b$
2. $\angle a=180°-\angle b$
3. $\angle a=90°+\angle b$
4. $\angle a=180°+\angle b$

Q.

In the given figure, if $\frac{y}{x}=5and\frac{z}{x}=4$ , then the value of x is ${12}^{\circ }$.

1. True

2. False

Q. Which of the following is not possible to construct ?

1. 
   A line into two equal parts
2. 
   A line segment into 4 equal parts
3. 
   Angle bisector of an angle
4. 
   
   A triangle having angles in the ratio 1 : 1 : 2

Q. Which of the given statements are correct when two straight lines intersect?

1. (i) and (iii) only
2. (ii) and (iii) only
3. (i) and (iv) only
4. (ii) and (iv) only

Q. In the Figure,
$\left(i\right)$ $AB=BC,M$ is the mid-point of $AB$ and $N$ is the mid-point of $BC$. Show that $AM=NC$.

Q.

In the below figure, rays AB and CD intersect at O.

(i) Determine y when x = 60°.

(ii) Determine x when y = 40°.

Q.

From the figure given below, find out the measure of $\angle$COB and $\angle$AOC respectively.

1. 24${}^{\circ }$ and 126${}^{\circ }$

2. 42${}^{\circ }$ and 156${}^{\circ }$

3. 24${}^{\circ }$ and 156${}^{\circ }$

4. 42${}^{\circ }$ and 126${}^{\circ }$