Question

find the missing angle (triangle with two equal sides, one 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 angles in triangle

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: Calculate \( a \)

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

Answer:

44