Question

What is the value of x?



Enter your answer in the box.

x = °

Answer 1

x=45°

Explanation:

The internal angles of a triangle add up to 180°, so 55+80+x=180

Solve the equation for x

55+80+x=180

135+x=180

x=180-135

x=45

Answer 2

`\sf x =\boxed{\sf 45}^\circ`

Explanation:

The sum of the interior angles of a triangle is always 180 degrees, regardless of the lengths of the sides or the measures of the angles.

So, we can write it as:

`\sf m\angle A + m\angle B + m\angle C = 180^\circ`

Substitute the given value:

`\sf 55^\circ + 80^\circ + x = 180^\circ`

Simplify like terms:

`\sf 135^\circ + x = 180^\circ`

Subtract 135° on both sides:

`\sf 135^\circ + x - 135^\circ = 180^\circ-135\circ`

`\sf x =\boxed{\sf 45}^\circ`

Therefore, the value of x is 45°.