Question

find the value of x in the triangle shown below. x = ° 58° 6 6 5.8 x° 2 of 4

Explanation:

Step1: Identify triangle type

Two sides equal (6,6), so isosceles.

Step2: Equal sides → equal angles

Angles opposite 6s are equal (x and x).

Step3: Sum of angles in triangle

\(58^\circ + x + x = 180^\circ\)

Step4: Solve for x

\(2x = 180^\circ - 58^\circ = 122^\circ\), \(x = 61^\circ\)

Answer:

61