The largest angle in a triangle is 6 times the smallest, and the difference between them is 100 degree . The measure of the second largest angle of the triangle will be
Answers
Step-by-step explanation:
let
the second smallest angle = y and
the smallest angle = x
so, the largest angle = 6x
According to the problem
6x - x = 100
5x = 100
x = 20
the smallest angle = x = 20 degrees
the largest angle = 6x = 6( 20 ) = 120 degrees
we know that sum of angles in a triangle is 180 degrees
so,
x + 6x + y = 180
20 + 120 + y = 180
140 + y = 180
y = 180 - 140
y = 40 degrees
the second smallest angle = y = 40 degrees
Answer: y = 40
Step-by-step explanation:
let
the second smallest angle = y and
the smallest angle = x
so, the largest angle = 6x
According to the problem
6x - x = 100
5x = 100
x = 20
the smallest angle = x = 20 degrees
the largest angle = 6x = 6( 20 ) = 120 degrees
we know that sum of angles in a triangle is 180 degrees
so,
x + 6x + y = 180
20 + 120 + y = 180
140 + y = 180
y = 180 - 140
y = 40 degrees
the second smallest angle = y = 40 degrees