Answer:
∠ A = 59°, ∠ B = 48° , ∠ C = 73°
Step-by-step explanation:
The interior angles of a triangle sum to 180°
sum the 3 angles and equate to 180
x + x - 11 + 73 = 180
2x + 62 = 180 ( subtract 62 from both sides )
2x = 118 ( divide both sides by 2 )
x = 59
Then
∠ A = x = 59°
∠ B = x - 11 = 59 - 11 = 48°
∠ C = 73°
Answer:
<A = 149*
<B = 138*
<C = 73*
Step-by-step explanation:
There are 360* total inside a triangle.
We subtract 73 from 360 to find the combined number of both angles a and b.
360-73 equals 287, so we know that both angles a and b add up to equal 287.
Since angle a equals x and angle b equals x - 11, we would combine the two expressions to find x. When we find x, it will allow us to know what both angles a and b equals to. So we combine x and x- 11, set it equal to 287, and solve for x.
x + x - 11 = 2x-11.
287 = 2x - 11
(Add eleven to both sides)
298 = 2x (divide both sides by two)
X = 149
Since angle a equals x, we know that angle a Is 149*.
And since angle b is x - 11, we take 149, subtract it by 11, and we get 138.
