Determine the value of x in the figure. answers: A) x = 94 B) x = 43 C) x = 141 D) x = 137

Answer:
D
Step-by-step explanation:
Since the triangle has 2 congruent sides then the triangle is isosceles and the base angles are congruent.
base angle = [tex]\frac{180-94}{2}[/tex] = [tex]\frac{86}{2}[/tex] = 43°
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
x is an exterior angle of the triangle, thus
x = 94 + 43 = 137 → D
Answer:
let y be the angles in the triangle
Angles in a triangle add up to 180
Since both angles are equal
94 + y + y = 180
2y = 180 - 94
2y = 86
y = 43
For angle x
Angles on a straight line add up to 180
x + y = 180
y = 43
x = 180 - 43
x = 137°