Question

13 directions - use the diagram to answer the following: a) triangle angle sum equation = b) value of x = degrees

Explanation:

Step1: Recall angle - sum property

The sum of interior angles of a triangle is 180°. In triangle ABC, we have angles \(x^{\circ}\), \(x^{\circ}\), and 90°. So the triangle angle - sum equation is \(x + x+90 = 180\).

Step2: Solve the equation for x

Combine like - terms: \(2x+90 = 180\). Subtract 90 from both sides: \(2x=180 - 90\), so \(2x = 90\). Divide both sides by 2: \(x=\frac{90}{2}=45\).

Answer:

a) \(x + x+90 = 180\)
b) 45