Question

Help me pls and explain​

Answer 1

14. x = 1

16. x = 4

18. x = 10

Explanation:

14. We have ∠ HGF = ∠ HGP + ∠ PGF

Given, ∠ HGF = 177x + 1, ∠HGP = 1 + 99x and ∠ PGF = 78°

So, 177x + 1 = 1 + 99x + 78

⇒ 78x = 78

⇒ x = 1 (Answer)

16. We have ∠ BCD = ∠ BCK + ∠ KCD

Given that, ∠ BCK = 9x - 2, ∠ BCD = 174° and ∠ KCD = 34x + 4

So, 174 = 9x - 2 + 34x + 4 = 43 x + 2

⇒ 43x = 172

⇒ x = 4 (Answer)

18. We have ∠ IJK = ∠ IJR + ∠ RJK

Now, given that, ∠ RJK = 8x + 10, ∠ IJR = 5x +8 and ∠ IJK = 148°

So, 148 = 5x + 8 + 8x + 10 =13x + 18

⇒ 13x = 130

⇒ x = 10 (Answer)