eyoung0407 eyoung0407
  • 26-03-2019
  • Mathematics
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Given that the measure of angle GHJ = 154 degrees find the angle of HIJ

Given that the measure of angle GHJ 154 degrees find the angle of HIJ class=

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smmwaite
smmwaite smmwaite
  • 26-03-2019

Answer:

the correct answer is 77°

Step-by-step explanation:

Angle GHJ and IHJ form supplementary angles which add up to 180°

therefore angle IHJ=180-154

angle IHJ=26°

Triangle IHJ is an isosceles triangle whose base angles HIJand IJH are equal. Lets assign them the same value, x° each

since the sum of all interior angles of a triangle add up to 180°, then x°+x°+26°=180°

2x+26=180

2x=154°

x=77°

Therefore both HIJ and IJH measure 77°

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