Question

6 look at the figure. find the value of x. 3x° (5x - 30)° 30 90 15 45

Explanation:

Step1: Identify triangle type

The triangle has two equal - side markings, so it is an isosceles triangle. In an isosceles triangle, the base - angles are equal. So, \(3x=5x - 30\).

Step2: Solve the equation for x

Subtract \(3x\) from both sides: \(0 = 5x-3x - 30\), which simplifies to \(0 = 2x-30\). Then add 30 to both sides: \(30=2x\). Divide both sides by 2: \(x = 15\).

Answer:

15