Question

find the missing angle (triangle with two equal sides, one base angle 68°, options: 90, 68, 44, 112)

Explanation:

Step1: Identify triangle type

The triangle has two equal sides (marked with ticks), so it's isosceles. Thus, the two base angles are equal. One base angle is \(68^\circ\), so the other base angle is also \(68^\circ\).

Step2: Sum of triangle angles

The sum of angles in a triangle is \(180^\circ\). Let the vertex angle be \(a\). So, \(a + 68^\circ + 68^\circ = 180^\circ\).

Step3: Solve for \(a\)

Simplify: \(a + 136^\circ = 180^\circ\). Subtract \(136^\circ\) from both sides: \(a = 180^\circ - 136^\circ = 44^\circ\).

Answer:

44