Question

What is the value of x?

(See attached image for details.)



Enter your answer in the box.

x = ...°

Answer 1

x = 55°

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°.

Answer 2

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°