document.write( "Question 797255: if triangleCAT = triangleRED. angle T= 37º, angle E = 42º, what is the measure of angle C? \n" ); document.write( "
Algebra.Com's Answer #481738 by DrBeeee(684)\"\" \"About 
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Given:
\n" ); document.write( "(1) triangle CAT is congruent to RED.
\n" ); document.write( "This means that the corresponding sides and angles are equal. This problem only conserns the angles so here'e what we have
\n" ); document.write( "(2) angle C = angle R
\n" ); document.write( "(3) angle A = angle E
\n" ); document.write( "(4) angle T = angle D
\n" ); document.write( "We are given
\n" ); document.write( "(5) angle T = 37 degrees and
\n" ); document.write( "(6) angle E = 42 degrees
\n" ); document.write( "We want to find angle C.
\n" ); document.write( "We can write triangle CAT as CET, because angle A equals angle E.
\n" ); document.write( "Then the three angles of cat are
\n" ); document.write( "(7) CAT =(C, 42, 37)
\n" ); document.write( "Since the sum of the angles of a triangle is 180 degrees we have
\n" ); document.write( "(8) C + 42 + 37 = 180 or
\n" ); document.write( "(9) C + 79 = 180 or
\n" ); document.write( "(10) C = 180 - 79 or
\n" ); document.write( "(11) C = 101
\n" ); document.write( "Let's check this with (8).
\n" ); document.write( "Is (101 + 42 + 37 = 180)?
\n" ); document.write( "Is (143 + 37 = 180)?
\n" ); document.write( "Is (180 = 180)? Yes
\n" ); document.write( "Answer: the measure of angle C is 101 degrees.\r
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