document.write( "Question 401345: ∠PQR and ∠ABC are complementary angles and ∠PQR is four times as large as ∠ABC. Determine the measure of each angle. Students must show all work step by step to receive full credit for the problem.
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Algebra.Com's Answer #284025 by richard1234(7193) $\"\"$ $\"About$

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Let ∠PQR = x and ∠ABC = 90 - x (we can make this assumption since they're complementary)\r
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\n" ); document.write( "\n" ); document.write( "Then, ∠PQR = 4∠ABC --> $\"x+=+4%2890-x%29\"$ --> $\"x+=+360+-+4x\"$ --> x = 72. Therefore ∠PQR = 72 and ∠ABC = 18 (degrees). \n" ); document.write( "

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