Question

Angle Relationships Worksheet #2 Back Side J

Answer 1

See answers below.

Step-by-step explanation:

Here apply the relationship of angles formed on a straight line.Angles formed on a straight line add up to 180°

13. m∠1 = 180° - 68° = 112°

14. m∠3=180°-122°=68°

15. m∠4=180°-(68°+90) = 180°-158°=22°

16. m∠5=90° ⇒right-angle

17.

Finding the value of x will require you to equate the sum of the expressions for the two angles to 180°

(2x+11)° + (6x-7)°=180°

2x+6x+11-7=180°

8x+4=180°

8x=180°-4°

8x=176°

x=176°/8 = 22°

Hence ;

∠MHT = (6x-7)°

           =(6*22 -7)°

           =(132-7)°

           =125°

and

∠AHM = (2x+11)°

           = (2*22 +11)°

           = 44 + 11 = 55°

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