Question

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Answer 1

x = 10, x = 124

Answer 2

x = 10, x = 124

Explanation:

(5)

Since Δ JKL is isosceles then the base angles are congruent, that is

∠ LJK = ∠ LJG = 80° , thus

∠ JLK = 180 - (80 + 80) = 180 - 160 = 20

x = 20 ÷ 2 = 10

(6)

Since Δ PQR is equilateral, then each of its angles = 60°

∠QRS = 60° - 32° = 28°

Since Δ SQR is isosceles then base angles are congruent, then

∠ SQR = ∠ QRS = 28 , thus

x = 180 - (28 + 28) = 180 - 56 = 124