Answer:
see explanation
Step-by-step explanation:
25
The diagonals of a kite are perpendicular to each other, hence
∠EHF = 90°
The sum of the 3 angles in a triangle = 180°
In ΔEHF
∠1 + ∠2 + 90 = 180, that is
42 + ∠2 + 90 = 180
132 + ∠2 = 180 ( subtract 132 from both sides )
∠2 = 48°
26
DE and DG are congruent sides, hence
4x - 2 = 22.5 ( add 2 to both sides )
4x = 24.5 ( divide both sides by 4 )
x = 6.125
27
∠A and ∠C are congruent, hence
∠A = ∠C = 82°
The sum of the interior angles of a kite = 360°, hence
x = 360 - (82 + 82 + 140) = 360 - 304 = 56
