the measuring of the angles of a triangle, in degrees, can be expressed by the ratio 4:5:6. what is the sum of the measures of the largest and smallest angles?
a. 80
b. 100
c. 120
d. 140
e. 160
2007-09-09 02:47:41 · 3 answers · asked by king_24680 1 in Science & Mathematics ➔ Mathematics
This is a ratio and geometry question so you should know that:
a triangle's angles sum up to 180 degrees and
a ratio can be multiplied by a common factor, so:
4x + 5x + 6x = 180
15x = 180
the x factor is 12
smallest angle = 4(12) = 48
largest angle = 6(12) = 72
their sum = 48 + 72 = 120 degrees
2007-09-09 03:44:10 · answer #1 · answered by 037 G 6 · 0⤊ 0⤋
The angles of the triangle are in the ratio 4:5:6
They are 48,60,72 aggregating 180
The largest and smallest being 72 and 48, their sum is 120
2007-09-09 09:57:12 · answer #2 · answered by Eechhutti 2 · 0⤊ 0⤋
C:120
Let constant be K
4K+5K+6K=180 DEGREES
or 15K=180
or K=12
Smallest angle =4K= 48
Largest angle = 6K =72
Largest + Smallest angles = 120
2007-09-09 10:03:02 · answer #3 · answered by Snoopy 3 · 0⤊ 0⤋