Answer: m<A = 35
Step-by-step explanation: The sum of the measures
of the interior angles of a triangle is 180°.
So we can setup the equation 3x + 5 + 8x + 65 = 180.
Combining our numbers and variables on the left, we have 11x + 70 = 180.
Now subtract 70 from both sides to get 11x = 110.
Dividing both sides by 11, we find that x = 10.
In the diagram, the m<A is represented as 3x + 5.
Plugging a 10 in for x, we have 3(10) + 5 or 30 + 5 which is 35.
So the m<A = 35.