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4. given that lines s and t are perpendicular, find the value of x: a. …

Question

  1. given that lines s and t are perpendicular, find the value of x: a. 60 b. 180 c. 45 d. 90 5. given that lines s and t are perpendicular, find the value of x: a. 60 b. 30 c. 45 d. 50

Explanation:

Question 4

Step1: Recall perpendicular lines property

Perpendicular lines form a \(90^{\circ}\) angle.

Step2: Determine \(x\)

Since \(s\) and \(t\) are perpendicular, \(x = 90\).

Step1: Use right - angle sum property

The sum of angles in a right - angle (formed by \(s\) and \(t\)) is \(90^{\circ}\).

Step2: Calculate \(x\)

We know one angle is \(60^{\circ}\), so \(x=90 - 60\).

$$x = 30$$

Answer:

D. 90

Question 5