Question
Find, giving a reason, the unknown marked angles, in a triangle drawn below:

Answer

We know that,
Exterior angle of a triangle is always equal to the sum of its two interior opposite angles (property)
110° = 2x + 3x
5x – 110°
$x=\frac{110^{\circ}}{5}$
x = 22°
∴ 2x = 2 x 22 = 44°
3x = 3 x 22 = 66°

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