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20 votes
20 votes
If x = 2z and y = 3z, find z

If x = 2z and y = 3z, find z-example-1
User Mrugesh
by
3.1k points

2 Answers

24 votes
24 votes

Answer:36

Step-by-step explanation:

Let name the missing angle in the triangle w.

We know that x+z+w=180

We also know that z+w=3z=y.

That means that w=2z.

x=2z, so, 2z+2z+z=180

z=36

User Ccalboni
by
3.1k points
6 votes
6 votes

Answer:

Z=36 degrees

Explanation:

Since angles x and y are supplementary, you know that they add up to 180 degrees.

Since we know that:

=x+y

=2z+3z

=5z

=180 degrees

180/5=36 degrees, so Z=36 degrees

User Jonathan Watmough
by
2.6k points