Question

for each part, just put the number. dont put x = # or a degree symbol or the word degree or the words, \i got...\ what is the value of x? what is the measure of the angle with the red arrow pointing at it? what is the measure of the angle with the blue arrow pointing at it?

Explanation:

Step1: Set up equation

Since the two angles are equal (assuming they are corresponding or alternate - interior angles in a parallel - line related situation), we set \(3x - 10=x + 40\).

Step2: Solve for x

Subtract \(x\) from both sides: \(3x-x-10=x - x+40\), which simplifies to \(2x-10 = 40\). Then add 10 to both sides: \(2x-10 + 10=40 + 10\), getting \(2x=50\). Divide both sides by 2: \(x=\frac{50}{2}=25\).

Step3: Find red - arrow angle

Substitute \(x = 25\) into the expression for the red - arrow angle \(3x-10\). So \(3\times25-10=75 - 10=65\).

Step4: Find blue - arrow angle

Substitute \(x = 25\) into the expression for the blue - arrow angle \(x + 40\). So \(25+40=65\).

Answer:

1. 25
2. 65
3. 65