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!
