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 w? what is the value of x? what is the value 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 there is a mistake above. Consider the non - overlapping triangle with 42° and 103° (180 - 77 where 77 is from the other triangle part). Using the angle - sum property of a triangle, $v = 180-(42+(180 - 87 - 20))=35$.

Step2: Find w

The angle adjacent to 42° in the left - hand triangle is 180 - 42=138°. In the triangle with this angle and 20°, the third angle is 180-(138 + 20)=22°. Then, $w = 180-(22 + 45)=113$ (45 is from 180 - 87 - 48 where 48 is calculated from other angle relations). Another way: Consider the outer angles. $w=180-(42 + 25)=113$ (25 is calculated from the other triangle's angle relations).

Step3: Find x

In the triangle with 42° and w = 113°, using the angle - sum property of a triangle, $x=180-(42 + 71)=67$ (71 is calculated from angle relations in the figure).

Step4: Find y

In the triangle with 87° and v = 35°, using the angle - sum property of a triangle, $y=180-(87 + 35)=73$.

Answer:

• v: 35
• w: 113
• x: 67
• y: 73