Advertisements
Advertisements
प्रश्न
Mark the correct alternative in each of the following:
If all the three angles of a triangle are equal, then each one of them is equal to
विकल्प
90°
45°
60°
30°
Advertisements
उत्तर
In a given ΔABC we are given that the three angles are equal. So, ∠A = ∠B = ∠C
According to the angle sum property of a triangle, in ΔABC
∠A + ∠B + ∠C = 180°
3∠A = 180°
∠A = 60°
∠A = ∠B = ∠C = 60°
Therefore, all the three angles of the triangle are equal to 60°
APPEARS IN
संबंधित प्रश्न
Two angles of a triangle are equal and the third angle is greater than each of those angles
by 30°. Determine all the angles of the triangle.
If the bisectors of the base angles of a triangle enclose an angle of 135°, prove that the triangle is a right triangle.
The exterior angles, obtained on producing the base of a triangle both way are 104° and 136°. Find all the angles of the triangle.
Is the following statement true and false :
All the angles of a triangle can be equal to 60°.
In a Δ ABC, AD bisects ∠A and ∠C > ∠B. Prove that ∠ADB > ∠ADC.
In ΔABC, if bisectors of ∠ABC and ∠ACB intersect at O at angle of 120°, then find the measure of ∠A.
If the side BC of ΔABC is produced on both sides, then write the difference between the sum of the exterior angles so formed and ∠A.
The correct statement out of the following is 
If an angle of a triangle is equal to the sum of the other two angles, find the type of the triangle
In the following figure, points lying in the interior of the triangle PQR are ______, that in the exterior are ______ and that on the triangle itself are ______.
