MATH SOLVE

5 months ago

Q:
# Need help with this question.Find the values of x,y, and z. The diagram is not to scale.

Accepted Solution

A:

Small triangle needs to equal 180degrees.

so

180 = 63 + 36 + x

180 = 99 + x

subtract 99 from both sides to isolate x

81 = x

Now, x and z are supplementary angles.

Meaning that they add up to 180degrees

x + z = 180

81 + z = 180

subtract 81 from both sides to isolate z

z = 99

Now we can see there is a triangle formed with the top angle 13 degrees and z and y

they must all add up to 180.

180 = 13 + z + y

we know z = 99

180 = 13 + 99 + y

180 = 112 + y

68 = y

Hope this helps!

so

180 = 63 + 36 + x

180 = 99 + x

subtract 99 from both sides to isolate x

81 = x

Now, x and z are supplementary angles.

Meaning that they add up to 180degrees

x + z = 180

81 + z = 180

subtract 81 from both sides to isolate z

z = 99

Now we can see there is a triangle formed with the top angle 13 degrees and z and y

they must all add up to 180.

180 = 13 + z + y

we know z = 99

180 = 13 + 99 + y

180 = 112 + y

68 = y

Hope this helps!