Question

Find the value of this triangle!

Answer 1

x = 35, y = 145, z = 25

Explanation:

All triangles' angles have a sum of 180°. Because we know this, we can solve the first triangle easily.

180 = x + 90 + 55

180 = x + 145

35 = x

Angles x and y are what we call suplementary angles. This means they have a sum of 180°.

180 = 35 + y

145 = y

Once again, we know that triangles have a sum of 180°. So the next triangle should now be easy to solve.

180 = 10 + 145 + z

180 = 155 + z

25 = z

Answer 2

x=35

y=145

z=25

Explanation:

(do first)x:

55 + 90 = 145

180-145=35

(do last)y:

25+10=35

180-35=145

(do second)z:

65+90=155

180-155=25