Answer:
14. x = 1
16. x = 4
18. x = 10
Step-by-step 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)
