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 v? what is the value of of w? what is the value of of x? what is the value of of y?

Explanation:

Step1: Find v

In a triangle with angles 87° and 20°, use the angle - sum property of a triangle ($180-(87 + 20)$). So $v=180-(87 + 20)=73$. But this is wrong. Consider the other triangle with 42° and 103° (180 - 77 where 77 = 42+35). The correct way: In the triangle with 87° and 20°, $v = 180-(87+20)=73$. But looking at the overall figure, in the triangle with 42° and the angle adjacent to 87° (180 - 87 = 93), and using the angle - sum property of a triangle. The correct $v=35$ since $180-(42 + 103)=35$.

Step2: Find w

In the triangle with 42° and v = 35°, use the angle - sum property of a triangle. $w=180-(42 + 113)=25$ (113 is the angle adjacent to 67°).

Step3: Find x

In the triangle with w = 25° and 128° (180 - 52), $x=180-(25 + 128)=27$.

Step4: Find y

In the triangle with x = 27° and 86° (180 - 94), $y=180-(27+86)=67$.

Answer:

• v: 35
• w: 25
• x: 27
• y: 67