Advertisements
Advertisements
Question
Is the following statement true and false :
An exterior angle of a triangle is less than either of its interior opposite angles.
Options
Ture
False
Advertisements
Solution
An exterior angle of a triangle is less than either of its interior opposite angles
According to the exterior angle property, an exterior angle of a triangle is equal to the sum of the two opposite interior angles.
In ΔABC
Let x be the exterior angle
So,
x = ∠CAB +∠CBA
Now, if x is less than either of its interior opposite angles
x < ∠CAB +∠CBA
APPEARS IN
RELATED QUESTIONS
ABC is a triangle in which ∠A — 72°, the internal bisectors of angles B and C meet in O.
Find the magnitude of ∠BOC.
Fill in the blank to make the following statement true:
An exterior angle of a triangle is equal to the two ....... opposite angles.
In a triangle, an exterior angle at a vertex is 95° and its one of the interior opposite angle is 55°, then the measure of the other interior angle is
State, if the triangle is possible with the following angles :
60°, 60°, and 50°
Can a triangle together have the following angles?
85°, 95° and 22°
Find, giving a reason, the unknown marked angles, in a triangle drawn below:
Classify the following triangle according to angle:
The length of the three segments is given for constructing a triangle. Say whether a triangle with these sides can be drawn. Give the reason for your answer.
9 cm, 6 cm, 16 cm
Can we have two acute angles whose sum is an acute angle? Why or why not?
The sides of a triangle must always be connected so that:
