Question

question 5 of 10
what is the value of x?
triangle with angles 40°, x°, 55°
a. 105°
b. 75°
c. 85°
d. 95°

Explanation:

Step1: Recall triangle angle sum

The sum of angles in a triangle is \(180^\circ\).

Step2: Calculate \(x\)

Let the three angles be \(40^\circ\), \(55^\circ\), and \(x\). So, \(40 + 55 + x = 180\).
Simplify: \(95 + x = 180\).
Subtract \(95\) from both sides: \(x = 180 - 95 = 85^\circ\).

Answer:

C. \(85^\circ\)