SOLUTION: if triangleCAT = triangleRED. angle T= 37�, angle E = 42�, what is the measure of angle C?

Question 797255: if triangleCAT = triangleRED. angle T= 37�, angle E = 42�, 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.

RELATED QUESTIONS
angle c and angle d are supplementary. if angle c measures 42 degrees, what is the... (answered by mananth)

An angle measures 37 degrees. what is the measure of it's supplementary angle? and... (answered by Alan3354)

If angle 1 is 42 degrees, what is the measure of angle... (answered by Fombitz)

Angle AOB and angle AOC are complementary angles. What is the measure of angle AOB if the (answered by ikleyn)

If the measure of angle D is 71and the measure of Angle G is 37 what is the measure if... (answered by Alan3354)

(Please help?) In triangle ABC, the measure of angle B is 8 degrees more than three... (answered by ewatrrr)

If angle a=17, and angle b =90 what is the measure of angle c... (answered by checkley77)

Angle a is 42 degrees; The measure of angle b is 3 times the measure of angle c. What is... (answered by nyc_function,richwmiller)

If angle T and angle U are supplementary and the measure of angle T is 70�, what is the... (answered by cleomenius)