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: Recall quadrilateral angle - sum property

The sum of interior angles of a quadrilateral is 360°. One angle is 90°, another is \(x\)°, and the third is \((x - 50)\)°. Let's assume the fourth - angle is 0° (since no information about it is given and we consider the sum of the three known - type angles). So, \(90+x+(x - 50)=360\).

Step2: Simplify the equation

\[

$$\begin{align*} 90+x+x - 50&=360\\ 40 + 2x&=360\\ 2x&=360 - 40\\ 2x&=320\\ x&=160 \end{align*}$$

\]

Step3: Find the measure of the red - arrowed angle

The red - arrowed angle is \(x\)°. Since \(x = 160\), the measure of the red - arrowed angle is 160.

Step4: Find the measure of the blue - arrowed angle

The blue - arrowed angle is \((x - 50)\)°. Substitute \(x = 160\) into \((x - 50)\), we get \(160-50 = 110\).

Answer:

160
160
110