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vfiekz [6]
3 years ago
8

You are given that <GHJ is a complement of <RST and <RST is a supplement of <ABC. Let m<GHJ be x°. What is the me

asure of < ABC?
Mathematics
1 answer:
MAVERICK [17]3 years ago
6 0

∠GHJ and ∠RST are complementary

⇒  ∠GHJ and ∠RST = 90°

And ∠RST and ∠ABC are supplementary

⇒  ∠RST and ∠ABC = 180°

Also, ∠GHJ = x°

⇒ ∠RST = 90° - x°

⇒ ∠ABC = 180° - ∠RST

⇒ ∠ABC = 180° - (90° - x°)

⇒ ∠ABC = 90° + x°

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4 0
3 years ago
Read 2 more answers
Need help with this question
goldfiish [28.3K]

Answer:

x = 12

Step-by-step explanation:

Complementary angles add up to have a sum of 90 degrees. We can create an equation and solve for x.

3x + 6x - 18 = 90

~Simplify

9x - 18 = 90

~Add 18 to both sides

9x = 108

~Divide 9 to both sides

x = 12

Best of Luck!

4 0
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Step-by-step explanation:

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