Question

100 POINTS

A trellis is a system of overlapping wooden slats
created for a vegetable or flower vine to grow on.
What must be the value of x so that the two slats will
be parallel? What is the angle measure at that
location? Show and explain all work using
mathematical language.

Answer 1

Angles are equal as they are corresponding

• 3x+48=6x-36
• x+16=2x-12
• 28=x

Angle :-

• 3(28)+48
• 132°

Answer 2

• x = 28
• 132°

Explanation:

The two marked angles must have same value as corresponding angles:

• 3x + 48 = 6x - 36
• 6x - 3x = 48 + 36
• 3x = 84
• x = 28

The angle measure:

• 3*28 + 48 = 132°