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1. (4 pts) ÐDEF and ÐGHI are complementary angles and ÐGHI is eight times as large as ÐDEF. Determine the measure of each angle.
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Question 144273This question is from textbook Survey of Math w/ Apllications
: Please can you help me?
Thank you!
1. (4 pts) ÐDEF and ÐGHI are complementary angles and ÐGHI is eight times as large as ÐDEF. Determine the measure of each angle.
This question is from textbook Survey of Math w/ Apllications
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If angle DEF and angle GHI are complementary, then the sum of their measures must be 90 degrees, so (eq 1). You are also given that mGHI is eight times as large as mDEF, so you can say: (eq 2).
Substituting in eq 1,
Solve for mDEF, and then put that value back into eq 2 to get mGHI.
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