Exterior Angle Theorem

Q. If AB || CD and T is a transversal then the measurement of $\angle n$ is:

1. $22{\frac{1}{2}}^{\circ }$
2. ${90}^{\circ }$
3. ${60}^{\circ }$
4. ${45}^{\circ }$

Q. In the adjoining figure the value of x is?

1. ${25}^{\circ }$
2. ${29}^{\circ }$
3. ${26}^{\circ }$
4. ${28}^{\circ }$

Q.

In the fig. below, if AB || CD, $\angle$APQ = 50${}^{\circ }$ and $\angle$PRD = 127${}^{\circ }$, find x and y.

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1. 50${}^{\circ }$, 67${}^{\circ }$

2. 50${}^{\circ }$, 77${}^{\circ }$

3. 77${}^{\circ }$, 87${}^{\circ }$

4. 77${}^{\circ }$, 97${}^{\circ }$

Q.

Find the value of (x+y) from the figure below:

1. 120${}^{\circ }$

2. 60${}^{\circ }$

3. 80${}^{\circ }$

4. 45${}^{\circ }$

Q.

An exterior angle of a triangle is ${115}^{\circ }$ and one of the opposite angles is ${35}^{\circ }$. Find the other two angles.

Q. In a triangle, two exterior angles are given by ${56}^{\circ }$ and ${136}^{\circ }$. Find the third exterior angle.

1. ${148}^{\circ }$
2. ${178}^{\circ }$
3. ${158}^{\circ }$
4. ${168}^{\circ }$

Q. In the adjoining figure, $l||m$. Find the values of $x,y$ and $z$.

Q.

An exterior angle of a triangle is ${115}^{\circ }$ and one of the opposite angles is ${35}^{\circ }$. Find the other two angles.