The angle measurements in the diagram are represented by the following expressions.
∠A=8x+74∘\qquad \blueD{\angle A} = \blueD{8x + 74^\circ}
∠A=8x+74
∘
start color #11accd, angle, A, end color #11accd, equals, start color #11accd, 8, x, plus, 74, degrees, end color #11accd
∠B=2x+56∘\qquad \green{\angle B} = \green{2x +56^\circ}
∠B=2x+56
∘
start color #28ae7b, angle, B, end color #28ae7b, equals, start color #28ae7b, 2, x, plus, 56, degrees, end color #28ae7b

AA
A
BB
B
Solve for
xx
x
x
and then find the measure of
∠B\greenD{\angle B}
∠B
start color #1fab54, angle, B, end color #1fab54
:
∠B=\greenD{\angle B} =
∠B=
start color #1fab54, angle, B, end color #1fab54, equals

∘^\circ
∘

x is greater than 5

step-by-step explanation:

2x+7 is greater than 17

    -7                           -7

2x is greater than 10

divide by 2 each side

x is greater than 5

there are infinitely many solutions.

the area of a triangle is determined by the formula: base x height * 1/2

you'll need to assign a base to the triangle. based on the vertices given, the simplest base would be the line segment from (-2,1) to (2,1). the distance between any two numbers is found by just subtracting them. here, you should subtract the x values to find the distance of this side.

2 - (-2) = 4.

so the distance (aka the length of the base) is 4. the height of the triangle is the distance between the base and the highest point on the triangle which is (3,4). we should subtract the y values this time to find the height/distance.

4 - 1 = 3

so the height is 3.

base = 4

height = 3

hope this if needed hmu