Respuesta :

Answer:

Step-by-step explanation:

1.Two adjacent angles :  (i) ∠LTN & ∠NTE  (ii)∠NTE & ∠STE

2. Acute vertical angles (i) ∠LTN & ∠RTS

3. (i) ∠RTS & ∠STE (ii)∠RTL & ∠LTE

4. ∠STE

5) ∠RNT & ∠SNU

6) ∠RNV & ∠RNS  (ii) ∠∠RNV & ∠VNT

7) ∠SNU

8) One angle = x

It's complimentary angle = 90 -x

x - (90 -x ) = 18

x - 90 + x = 18

2x - 90 = 18

2x = 18 + 90

2x = 108

x =108/2

x = 54

The angles are 54 ,  36

1. x + 5x = 90  { NR ⊥ MQ)

6x = 90

x = 90/6

x = 15

9y + 18 = 90 { NR ⊥ MQ}

9y = 90 - 18

9y = 72

y = 72/9

y = 8

2. ∠MSN = 90  

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