Question

Given the measure of angle 8 is 130o. What is the value of x if the measure of angle 5 is (x - 40)?

Number only (no words or variables)

Answer 1

• The value of x is 90°.

Explanation:

We know that:

• ∠8 = 130°
• ∠5 = x - 40
• ∠5 + ∠8 = 180

Work:

• 130 + (x - 40) = 180

Opening the brackets:

• 130 + x - 40 = 180

Solving:

• 90 + x = 180
• => x = 180 - 90
• => x = 90°

Hence, the value of x is 90°.

Hoped this helped.

`BrainiacUser1357`

Answer 2

• 90

Explanation:

Angle 5 forms a linear pair with angle 8:

• m∠5 + m∠8 = 180°

Substitute the values and solve for x:

• x - 40 + 130 = 180
• x + 90 = 180
• x = 90