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 measure of the angle with the red arrow pointing at it? what is the measure of the angle with the green arrow pointing at it? what is the measure of the angle with the blue arrow pointing at it?

Explanation:

Step1: Use vertical - angle property

Vertical angles are equal. Let's assume the relationships based on vertical - angle and linear - pair properties. If we assume the angle with measure $y^{\circ}$ and the angle with measure $3y^{\circ}$ are related by a linear - pair (sum to 180 degrees), then $y + 3y=180$.

Step2: Solve the equation for $y$

Combining like terms in the equation $y + 3y = 180$, we get $4y=180$. Then $y=\frac{180}{4}=45$.

Step3: Find the value of $x$

Since the angle with measure $x^{\circ}$ and the angle with measure $y^{\circ}$ are vertical angles, $x = y$. So $x = 45$.

The angle with the red arrow (measure $y^{\circ}$):

Answer:

45
The angle with the green arrow (measure $x^{\circ}$):
45
The angle with the blue arrow (measure $3y^{\circ}$):
135