document.write( "Question 171141: In triangle ABC, angle A and B have the same measure. Angle C is 90 degrees larger than both A and B. What are the measures of the 3 angles? Totally lost. Please help me out. Thanks a bunch. \n" ); document.write( "

Algebra.Com's Answer #126327 by jojo14344(1513) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "We know that $\"A%2BB%2BC=180\"$ , EQN 1
\n" ); document.write( "But, $\"A=B\"$
\n" ); document.write( "Also ----> $\"+system%28C=A%2B90%2CC=B%2B90%29\"$ ---> Angle C is 90 deg larger right?
\n" ); document.write( "subst. one of this condition in EQN 1:
\n" ); document.write( " $\"A%2BB%2Bhighlight%28A%2B90%29=180\"$
\n" ); document.write( "Remember too ----> $\"A=B\"$ , therefore,
\n" ); document.write( " $\"A%2Bhighlight%28A%29%2Bhighlight%28A%2B90%29=180\"$
\n" ); document.write( " $\"3A=180-90\"$
\n" ); document.write( " $\"3A=90\"$ -------> $\"cross%283%29A%2Fcross%283%29=cross%2890%2930%2Fcross%283%29\"$
\n" ); document.write( " $\"highlight%28A=30%5Eo=B%29\"$
\n" ); document.write( "Then, $\"C=30%5Eo%2B90%5Eo=highlight%28120%5Eo=C%29\"$
\n" ); document.write( "Check as per EQN 1:
\n" ); document.write( " $\"30%5Eo%2B30%5Eo%2B120%5Eo=180%5Eo\"$
\n" ); document.write( " $\"180%5Eo=180%5Eo\"$
\n" ); document.write( "Thank you,
\n" ); document.write( "Jojo \n" ); document.write( "

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