An exterior angle is 120degree and one of its interior opposite angle is 40 degree.then find the other two angles of the triangles.brainly.in
Answers
The exterior angle => 120.
Let the Angles of the triangle be A ,B, C
According to exterior angle property,
=> A+B= 120
=> 40+B=120
B=120-40
=> 80
A+B+C=180
=> 40+80+C=180
=> C= 180-120
=> 60.
Angles of the triangle => 40; 80 & 60
Answer:
80° and 60°.
Step-by-step explanation:
Given:- Exterior angle of a triangle = 120°.
One of the interior angles = 40°.
To Find:- The other two angles of the triangle.
Solution:-
We know that, Exterior angle of a triangle is equal to the sum of opposite interior angles.
Also we know that sum of all the angles of a triangle is 180°.
Let B be other interior opposite angle of a △ABC.
Let C be the third angle.
Therefore, we can write that
120° = ∠B + 40°
⇒ ∠B = 120° - 40°
⇒ ∠B = 80°
Now, we can also write that
∠A + ∠B + ∠C = 180°
⇒ 40° + 80° + ∠C = 180°
⇒ ∠C = 180° - 80° - 40°
⇒ ∠C = 100° - 40°
⇒ ∠C = 60°
Therefore, the other two angles are 80° and 60°.
#SPJ3
See the similar type of questions in the below link
https://brainly.in/question/5406009
https://brainly.in/question/3371946