Hey there! :)
Answer:
x = 89°.
Step-by-step explanation:
x + 42 is supplementary to the inside angle at the top of the triangle, so:
The top angle of the triangle is equal to:
180 - x - 42.
All of the angles in a triangle add up to 180°, therefore:
180 = x + x - 47 + 180 - x - 42
Combine like terms:
180 = 2x + 133 - x - 42
180 = x + 91
Subtract 91 from both sides:
89 = x.
Therefore, x = 89°.
