Advertisements
Advertisements
Question
Is the following statement true and false :
An exterior angle of a triangle is greater than the opposite interior angles.
Options
Ture
False
Solution
An exterior angle of a triangle is greater than the opposite interior angles.
According to exterior angle theorem,
ext .x = ∠CAB + ∠CBA
Since, the exterior angle is the sum of its interior angles.
Thus,
ext.x >∠CAB
ext.x >∠CBA
APPEARS IN
RELATED QUESTIONS
If one angle of a triangle is equal to the sum of the other two, show that the triangle is a
right triangle.
Can a triangle have two acute angles?Justify your answer in case.
The exterior angles, obtained on producing the base of a triangle both way are 104° and 136°. Find all the angles of the triangle.
In the given figure, AB || DE. Find ∠ACD.
In the given figure, AB divides ∠DAC in the ratio 1 : 3 and AB = DB. Determine the value of x.
One of the base angles of an isosceles triangle is 52°. Find its angle of the vertex.
Can a triangle together have the following angles?
55°, 55° and 80°
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
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.
8.4 cm, 16.4 cm, 4.9 cm
In figure, ∠BAC = 90° and AD ⊥ BC. The number of right triangles in the figure is ______.
