Question

X = 68°, find the measures of angles 1, 2, and 3.

Answer 1

`< 1 = 112 \degree\\ < 2 = 68 \degree \: \\ < 3 = 112 \degree`

Explanation:

As the vertically opposite angles are equal,

`x = < 2 \\ x = 68 \\ so \\ < 2 = 68 \degree`

As the angles in a straight line is added up to 180°

`< 1 + < 2 = 180 \\ < 1 + 68 = 180 \\ < 1 = 112 \degree`

Also,

`< 2 + < 3 = 180 \\ 68 + < 3 = 180 \\ < 3 = 112 \degree`

Hope this helps you.

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