the sum of the three angles of a triangle is 180 the first angle is 30 more than the third angle the second angle is four times as large as the third angle find the measure of all three angles

Answer 1

F+30+T

S=4T

F+S +T = 180

30+T +4T +T = 180

6T = 180-30 = 150

T =150/6 = 25 degrees = Third Angle

S=4(25) = 100 degrees = Second Angle

F=30+25 = 55 degrees = First Angle

55, 100 and 25 degrees for 1st,2nd & 3rd angles

they sum to 180