Question

extra practice level up your skills! multiple choice find the value of x given the triangle below. (6x + 18)° a 7 b 12 c 60 d 126

Explanation:

Assuming the triangle is isosceles with two right angles? Wait, no, maybe it's an isosceles triangle with two equal angles, or maybe a right triangle? Wait, the diagram shows a triangle with a right angle? Wait, no, the angle given is \((6x + 18)^\circ\), and maybe it's an isosceles right triangle? Wait, maybe the triangle is isosceles with two angles equal, and one of them is a right angle? Wait, no, let's assume it's an isosceles triangle with two angles equal, and the angle \((6x + 18)^\circ\) is equal to 90? No, wait, the options are 7, 12, 60, 126. Let's check:

If we assume the triangle is a right - isosceles triangle, then the two non - right angles are equal? No, wait, maybe the angle \((6x + 18)^\circ\) is equal to 90? No, 6x+18 = 90, 6x=72, x = 12. Let's check:

Step 1: Assume the angle \((6x + 18)^\circ\) is a right angle (90°)

We set up the equation \(6x+18 = 90\)

Step 2: Solve for x

Subtract 18 from both sides: \(6x=90 - 18=72\)

Divide both sides by 6: \(x=\frac{72}{6}=12\)

Answer:

B. 12