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

Question

asked Sep 24, 2022 115k views

1 Answer

Scottux · Answer 1 · 2022-10-01T05:30:52+0000

Answer:

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

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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