If all the three angles of a triangle...

If all the three angles of a triangle are equal, then each one of them is equal to: `90^0` (b) `45^0` (c) `60^0` (d) `30^0`

Text Solution

Verified by Experts

We know that, the sum of three angles of a triangle is 180@
/_A + /_B + /_C = 180@
/_A + /_A + /_A = 180°
3/_A = 180@
/_A = 180/3
/_A = 60@
Therefore, /_A = /_B = /_C = 60@

Topper's Solved these Questions

TABULAR REPRESENTATION OF STATISTICAL DATA
RD SHARMA|Exercise All Questions|62 Videos

Similar Questions

Explore conceptually related problems

If two acute angles of a right triangle are equal,then each acute is equal to 30^(0) (b) 45^(@) (c) 60^(@)(d)90^(@)

The three angles of a triangle are equal to one another.What is the measure of each of the angles?

The angles of a triangle are in the ratio 1:2:3 The measure of the largest angle is: 30^(0) (b) 60^(0)(c)90^(0)(d)120^(@)

In a triangle A B C , if B=30^0a n d\ c=sqrt(3)\ b , then A can be equal to 45^0 (b) 60^0 (c) 90^0 (d) 120^0

An exterior angle of a triangle is equal to 100^(@) and two interior opposite angles are equal. Each of these angles is equal to 75^(0) (b) 80^(@) (c) 40^(0) (d) 50^(@)

A kite is flying at a height of 30m from the ground.The length of string from the kite to the ground is 60m.Assuming that three is no slack in the string,the angle of elevation of the kite at the ground is: 45^(0) (b) 30^(0) (c) 60^(0) (d) 90^(0)

Side B C of a triangle A B C has been produced to a point D such that /_120^0dot If /_B=1/2/_A , then /_A is equal to 80^0 (b) 75^0 (c) 60^0 (d) 90^0

If the bisectors of the acute angles of a right triangle meet at O, then the angle at O between the two bisectors is 45^(@)(b)95^(0)(c)135^(0)(d)90^(0)

0. 35-0. 035 is equal to: 0.3 (b) 0.349 (c) 0.315 (d) 0.353

If the sides of a triangle are sqrt 2, sqrt6, sqrt8 then the angles of the triangle are (i) 30^0, 75^0,75^0 (ii) 45^0,45^0,90^0 (iii)30^0,60^0,90^0 (iv) 60^0,60^0,60^0

RD SHARMA-TRIANGLE AND ITS ANGLES-All Questions

if A B D E and B D F G such that /F G H=125^0 and /B=55^0, find x\ a...
Text Solution
|
side B C\ of A B C is produced to point D such that bisectors of /A ...
Text Solution
|
If all the three angles of a triangle are equal, then each one of t...
Text Solution
|
If two acute angles of a right triangle are equal, then each acute ...
Text Solution
|
An exterior angle of a triangle is equal to 100^0 and two interior ...
Text Solution
|
If one angle of a triangle is equal to the sum of the other two ang...
Text Solution
|
Side B C of a triangle A B C has been produced to a point D such th...
Text Solution
|
In A B C ,\ /B=/C and ray A X bisects the exterior angle /D A Cdot...
Text Solution
|
In a triangle, an exterior angle at a vertex is 95^0 and its one of...
Text Solution
|
If the sides of a triangle are produced in order, then the sum of t...
Text Solution
|
In A B C , if /A=100^0,\ A D bisects /A\ a n d\ /A D\ |B C . Then, /B...
Text Solution
|
An exterior angle of a triangle is 108^0 and its interior opposi...
Text Solution
|
In a A B C , if /A=60^0,\ /B=80^0 and the bisectors of /B\ a n d\ /C ...
Text Solution
|
If the bisectors of the acute angles of a right triangle meet at O ...
Text Solution
|
Line segments A B\ a n d\ C D intersect at O such that A C || D Bdot I...
Text Solution
|
The bisectors of exterior angles at B\ a n d\ C of /A B C meet at Od...
Text Solution
|
In a A B C ,\ /A=50^0a n d\ B C is produced to a point Ddot If the bi...
Text Solution
|
The side B C of A B C is produced to a point Ddot The bisector of /A ...
Text Solution
|
In Figure, if E C || A B ,\ /E C D=70^0A N D\ /B D O=20^0 , then /O B ...
Text Solution
|
In Figure, x+y= 270 (b) 230 (c) 210 (d) 190^0
Text Solution
|