the measure of one angle of a triangle is 6 degree more than measure of a second angle. the third angle is 30?

Question

degrees more than the measure of he second. find the measure of each angle.

Answer 1

Since the sum of the angles of a triangle equal 180°, if 'x' is one angle, then we have:

the measure of one angle of a triangle is 6 degree more (x+6)than measure of a second angle (x). the third angle is 30 degrees more than the measure of he second (x+30). find the measure of each angle

x+(x+6)+(x+30)=180
x+x+6+x+30=180
3x+36=180
3x=180-36
3x=144
x=144/3
x=48

x+6=48+6=54

x+30=48+30=78
So the angles are: 48°, 54° and 78°

Answer 2

Question: The measure of one angle of a triangle is 6 degrees more than measure of the second angle. The third angle is 30 degrees more than the measure of the second angle. Find the measure of each angle.

Let the angles be angle A, B and C.
angle A + angle B + angle C = 180 --- (1)
angle A = angle B + 6 --- (2)
angle C = angle B + 30 --- (3)

Sub (2) and (3) into (1)
(angle B + 6) + angle B + (angle B + 30) = 180
3(angle B) = 144
angle B = 48 degrees

when angle B = 48 degrees,
angle A = 48 + 6 = 54 degrees
angle C = 48 + 30 = 78 degrees

Therefore, the three angles of the triangle are 48, 54 and 78 degrees.

Answer 3

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the sum of the angles of a triangle equal 180°, if 'x' is one angle, then we have:

the measure of one angle (x) of a triangle is 6 degree more (x+6) than measure of a second angle. the third angle is 30?

x+(x+6)+30=180
x+x+6+30=180
2x+36=180
2x=180-36
2x=144
x=144/2
x=72

x+6=72+6=78

So the angles are: 72°, 78° and 30°

Answer 4

>1 = 78
>2 = 72
>3 = 30

the angles of a triangle add up to equal 180 : label the angles a, b, & c
we are told that the third angle (or angle c) equals 30 and that the first angle (angle a) is 6 more then the second angle (angle b) so your equation should be
(b + 6) + b + 30 = 180
solve for b and that gives you the measure for angle b (angle 2) and then do the arithmatic for angle a (angle 1) and them together to check answer and you get the 180 you need

Answer 5

Let angles be x , (x + 6) and 30°
x + (x + 6) + 30 = 180
2x + 36 = 180
2x = 144
x = 72
Angles are 72° , 78° and 30°

Answer 6

If the 3rd is 30, the sum of the other 2 is 150. x = first angle, x-6 is the second. x+x-6=150. or 2x=156. x = 78. The three angles then are 78,72 and 30.

Answer 7

(x) + (x + 6) + (x + 24) = 180 3x + 30 = 180 3x = 150 x = 50 50, 56, 74

Answer 8

72, 78 & 30

Answer 9

72degrees.1st angle

78degrees 2nd angle

30degree 3rd angle

Good luck