Sagot :
Answer:
x = 55°
Step-by-step explanation:
Hello!
The sum of angles in a triangle is 180°.
To solve for x, we have to subtract the given angles from 180°.
Solve for x
- 180° = ∠1 + ∠2 + ∠x
- 180° = 75° + 50° + x°
- 180° - 75° - 50° = x°
- 55° = x°
The value of x is 55°.
Angle sum property of a triangle
- Angle sum property of triangle states that the sum of interior angles of a triangle is 180°.
∠A + ∠B + ∠C = 180°
- ∠A = ?
- ∠B = 75°
- ∠C = 50°
We need to find the value of ∠A
According to the angle sum property of a triangle
⇢∠A + ∠B + ∠C = 180°
⇢∠A + 75° + 50° = 180°
⇢∠A + 125° = 180°
⇢∠A = 180° - 125°
⇢∠A = 55°