The angle measure of a triangle are shown in the diagram.

Question

the top of the triangle shows 95 and the bottom left shows (3x+4) and the bottom right shows (4x-3)

What is the value of x?
Responses
A 2020
B 1212
C 1515
D 13

Answer 1

The sum of the angle measures in a triangle is always 180 degrees.

So, 95 + 3x + 4 + 4x - 3 = 180
Combine like terms:
95 + 4 + (-3) = 96
3x + 4x = 7x

Therefore, 96 + 7x = 180
Subtracting 96 from both sides:
7x = 84
Divide by 7:
x = 12

Therefore, the value of x is 12, which corresponds to option B: 1212.