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Help please! I just don’t understand

Help please! I just don’t understand-example-1
User Angle Tom
by
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1 Answer

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Answers:

  • x = 8
  • angle HIJ = 175 degrees

===================================================

Work Shown:

(angle HID) + (angle DIJ) = angle HIJ

(100) + (8x+11) = 21x+7

100+8x+11 = 21x+7

8x+111 = 21x+7

111-7 = 21x-8x

104 = 13x

13x = 104

x = 104/13

x = 8

Use this x value to find angle HIJ

angle HIJ = 21x+7

angle HIJ = 21*8+7

angle HIJ = 175 degrees

---------------------------

Extra info:

You can also use that x value to find angle DIJ

angle DIJ = 8x+11

angle DIJ = 8*8+11

angle DIJ = 75

Then add this to angle HID to get

angle HID + angle DIJ = 100+75 = 175

This matches with angle HIJ = 175

So this confirms angle HID + angle DIJ = angle HIJ which helps confirm our answers.

User Zeynel
by
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