The support wire for a sign meets the wall and the overhang as shown below. if the measure of angle 2 is 42, find the measure of angle 1 explain your reasoning plz

Hello!

The wall and the overhang meet to form a right angle, which we know to be an angle whose measure is equal to 90 degrees. Therefore, we can conclude that angles 1 and 2 are complementary angles. Complementary angles are two angles whose sum is equal to 90 degrees. This can be represented by the following formula:

A1 + A2 = 90

Insert any known values into the formula above:

A1 + 42 = 90

Subtract 42 from both sides of the equation:

A1 + 42 ( – 42 ) = 90 ( – 42 )
A1 = 48

We have now proven that Angle 1 is equal to 48 degrees.

I hope this helps!

You have 2 sides that are 2 cms and you have 6 sides that are 1/2 cm and you have 4 sides that are 1 cm. the smallest sides are 1/2 the medium sized sides are 1 and the smallest are 1/2. so to find the perimeter you have to add them all up together so your answer will be 11 cm's