Answer:
β = 140 - α
we know that the "missing" angle is 40° since 40 + 140 = 180
we also know that the total sum of angles in a triangle is 180
so β = 180 - 40 - α
or β = 140 - α
Step-by-step explanation:
Answer:
The value of x = 9
Step-by-step explanation:
Angle Bisector Theorem
An angle bisector of a triangle would cut the opposite side into two segments that are proportional to the other two sides of the triangle.
Thus,

Cross Multiply the expression

Divide both sides by 20


Therefore, the value of x = 9
2 consecutive numbers....x and x + 1
x(x + 1) = 182
x^2 + x = 182
x^2 + x - 182 = 0
(x - 13)(x + 14) = 0
x - 13 = 0
x = 13
x + 14 = 0
x = -14....not this one because it is negative
x + 1 = 13 + 1 = 14
ur 2 numbers are : 13 and 14