Question

question
a side of the triangle below has been
extended to form an exterior angle of 156°.
find the value of x.
answer
attempt 1 out of 3
x = submit answer

Explanation:

Step1: Find the adjacent interior angle

The adjacent interior angle and the exterior angle of \(156^{\circ}\) are supplementary. So the adjacent interior angle is \(180 - 156=24^{\circ}\)

Step2: Use the triangle angle - sum property

In a triangle, the sum of interior angles is \(180^{\circ}\). Let the three interior angles of the triangle be \(24^{\circ}\), \(x^{\circ}\), and \(49^{\circ}\). Then \(24 + x+49 = 180\)

$$x=180-(24 + 49)$$

$$x=180 - 73$$

Answer:

\(107\)