Answer:
We know that ∠EFH and ∠HFG are right angles
∠EFH + ∠HFG = 90 degrees
∠FHG = 24 degrees
Explanation:
Given :
- We are given a right angle that is split into two separate angles, we know this because of the square. ∠EFH and ∠HFG are right angles
- One of the angles has a measure of 66 degrees
Given this we are asked to find the measure of the missing angle
What we know:
- We know that right angles have a measure of 90 degrees (these are known as complementary angles).
- This means that ∠EFH + ∠HFG = 90°
If we are given one of the angle measure we can find the other angle by subtracting the given one from 90
So, ∠EFH + ∠FHG = 90°
And, ∠EFH = 66
Then, 66 + ∠FHG = 90
Subtract 66 from 90
∠FHG = 24 degrees