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