Question

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

Answer 1

D

Explanation:

Since the triangle has 2 congruent sides then the triangle is isosceles and the base angles are congruent.

base angle =
`(180-94)/(2)` =
`(86)/(2)` = 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 2

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°