Answer:
150°
Step-by-step explanation:
The two angles form a straight line (the arrows on the ends of the lines tells you that it's a straight line), so they form 180° when added together.
The ratio 1 : 5 tells us that there are 6 total parts made up by the angles. Find the value of one part, then you can find the value of <ZXY
To do this, divide 180° by 6 to find out what one part equals.
180°/6 = 30°
So one part is 30°
<WXZ is 30° since it makes up one part
<ZXY is 150° since it makes up 5 parts { (30°)(5) = 150° }
