Lines m and n are parallel.

What is angle 2?

A. 39
B. 57
C. 67
D. 74

The correct answer is option C: 67

Step-by-step explanation: So we have four different lines intersecting at one point or the other and these are lines m, n, s and t. Also lines m and n are parallel, so we shall start from there. If lines m and n are parallel, then angle 74 along line n is equal to angle 9X + 2 along line m {corresponding angles are equal}. Therefore

9x + 2 = 74

9x = 74 - 2

9x = 72

Divide both sides of the equation by 9

x = 8.

Also the angle bounded by the intersection of lines m and s equals 74 {opposite angles are equal} because it’s opposite angle 9x + 2 and it’s also alternate to angle 74.

Looking at angle 5x - 1 along line t, substitute for the value of x

= 5(8) - 1

= 40 - 1

= 39

Therefore if angle 5x - 1 is calculated as 39, observe carefully that lines m, t and s intersect to form a triangle. The angles in the triangle are 39, 74 and S (labeled as angle 2). To calculate angle S,

S + 39 + 74 = 180 {Sum of angles in a triangle equals 180}

S + 113 = 180

Subtract 113 from both sides of the equation

S = 67

Therefore angle 2 equals 67 degrees.

its adding 5.5 each time

step-by-step explanation:

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