Question

Please show work thank you

Answer 1

∠D = 90°
∠E = x
∠F = 2x - 12


Angles in a triangle = 180°
90 + x + 2x - 12 = 180
78 + 3x = 180
-78 -78
3x = 102


`(3x)/(3) = (102)/(3)`
3 and 3 cancels out

34 = x

∠E = 34°

∠F = 2x -12
= 2 × 34 - 12
= 56°