Question

25) If one of the angles of a triangle is 66°, then the angle between the bisectors of the other two angles can be:
a) 120°
b) 125°
c) 123
d) 155​

Answer 1

$\textbf{QUESTION :-}$

If one of the angles of a triangle is 66°, then the angle between the bisectors of the other two angles can be:

$\textbf{ANSWER :-}$

let ∠A, ∠B,∠C are three angles in a triangle.

sum of the three angles in a triangle is 180degree.

∠A+∠B+∠C=180

130+∠B+∠C=180 since one angle is given

∠B+∠C =180-130

∠B+∠C=50

(∠B+∠C)/2=25----(1)after bisecting sum of the angles

required angle =180-25=155

$\boxed{155^°}$

d is correct answer

Answer 2

Answer:

let ∠A, ∠B,∠C are three angles in a triangle.

sum of the three angles in a triangle is 180degree.

∠A+∠B+∠C=180

130+∠B+∠C=180 since one angle is given

∠B+∠C =180-130

∠B+∠C=50

(∠B+∠C)/2=25----(1)after bisecting sum of the angles

required angle =180-25=155

Step-by-step explanation:

that means d is the right answer #work hard