Advertisements
Advertisements
प्रश्न
Is the following statement true and false :
An exterior angle of a triangle is less than either of its interior opposite angles.
पर्याय
Ture
False
Advertisements
उत्तर
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
संबंधित प्रश्न
The angles of a triangle are (x − 40)°, (x − 20)° and `(1/2x-10)^@.` find the value of x
The bisectors of base angles of a triangle cannot enclose a right angle in any case.
If the bisector of the exterior vertical angle of a triangle be parallel to the base. Show that the triangle is isosce
Compute the value of x in the following figure:
In the given figure, AB divides ∠DAC in the ratio 1 : 3 and AB = DB. Determine the value of x.
The sum of two angles of a triangle is equal to its third angle. Determine the measure of the third angle.
If two acute angles of a right triangle are equal, then each acute is equal to
Calculate the angles of a triangle if they are in the ratio 4: 5: 6.
Find x, if the angles of a triangle is:
2x°, 4x°, 6x°
Can we have two acute angles whose sum is an obtuse angle? Why or why not?
