The measure of two angles in a triangle are shown in the diagram.
Which equation can be used to find the value of x?
Responses
A 80 + 2x = 18080 + 2 x = 180
B 2(80) + x = 1802(80) + x = 180
C 80 + 2x = 36080 + 2 x = 360
D 2(80) + x = 360
The sum of the measures of the angles in a triangle is 180 degrees.
In the given diagram, one angle has a measure of 80 degrees.
Let's call the measure of the second angle x degrees.
The third angle can be found by subtracting the sum of the other two angles from 180 degrees.
So, the equation that can be used to find the value of x is:
80 + x + (180 - (80 + x)) = 180
Simplifying this equation gives us:
80 + x + (180 - 80 - x) = 180
80 + x + 100 - 80 - x = 180
x + 100 - 80 = 180
x + 20 = 180
x = 180 - 20
x = 160
Therefore, the correct equation to find the value of x is A) 80 + 2x = 180.