Exterior Angle of a Triangle

Q.

An exterior angle of a triangle is 105^o and its two interior opposite angles are equal. Each of these equal interior angles are

1. 37.5${}^{\circ }$

2. 52.5${}^{\circ }$

3. 72.5${}^{\circ }$

4. 75${}^{\circ }$

Q.

Which sets of values can be the measures of the exterior angles of a triangle?

1. $120°,110°,130°$

2. $35°,103°,122°$

3. $123°,87°,220°$

4. $120°,120°,120°$

5. $123°,157°,90°$

Q.

Consider the figure:

If $\angle$1 = ${70}^{\circ }$​, $\angle$ACD = ${120}^{\circ }$​, then the value of $\angle$2 is: [2 marks]

Q.

In the given figure, AD divides $\angle BAC$ in the ratio 1:3. Find the value of X and $\angle ADC$ (in degrees).

Q. One of the exterior angles of a triangle is $80°,$ and the interior opposite angles are equal to each other. What is the measure of each of these two angles?
(3 marks)