Question

wilson, makyla
dtal-ma-gm-unit 4 25-26 term 1 4x4
directions: enter your answer in the space provided. u
find the value of x in the triangle.
(4x - 15)°
x =

Explanation:

Step1: Identify the triangle type

It is an isosceles right - angled triangle. The sum of angles in a triangle is \(180^{\circ}\), and one angle is \(90^{\circ}\). So the sum of the other two equal angles \((4x - 15)^{\circ}\) is \(180-90=90^{\circ}\).

Step2: Set up the equation

Since the two non - right angles are equal, we have \(2(4x - 15)=90\).
Expand the left - hand side: \(8x-30 = 90\).

Step3: Solve the equation for \(x\)

Add \(30\) to both sides: \(8x=90 + 30\), so \(8x=120\).
Divide both sides by \(8\): \(x=\frac{120}{8}=15\).

Answer:

\(15\)