The angle measure of a triangle are shown in the diagram.
the top of the triangle shows (2z) and the bottom left shows 110 and the bottom right shows (3z-5)
What is the value of z?
Responses
A 2020
B 2525
C 4040
D 1515
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T
o find the value of z, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
So, we can set up the equation:
2z + 110 + 3z - 5 = 180
Combine like terms:
5z + 105 = 180
Subtract 105 from both sides:
5z = 75
Divide by 5:
z = 15
Therefore, the value of z is 15.
The closest answer choice is D) 1515.