Answer:
The size of ∡AEF is 90 °
Step-by-step explanation:
Here we have
Since ∡CDF = straight line = 180 °
∡FDE = 60 ° = Internal angle of equilateral triangle
∡CDA = 90 ° = Internal angle of a square
∡ADE + ∡CDA + ∡FDE = 180 °, Sum of angles on a straight line
Therefore ∡ADE = 180 - (∡CDA + ∡FDE) = 180 ° - 150 ° = 30 °
∡DEA = ∡ADE = 30 °
∡AEF = ∡DEA + ∡DAF (Internal angle in equilateral triangle) = 30 + 60 = 90 °
The size of ∡AEF = 90 °.
