Question

Using the diagram and the given angle measure to find the other three angle measures

Answer 1

Solution:

Based on the given.

If $m∠2 = 59°$

Then, $m∠4 = 59 °$

(reason: vertically opposite angles are equal)

If $m∠4 = 59 °$

Then, $m∠1⟹ 180 - 59 = 121 °$

(reason: angles on a straight line = 180°)

If $m∠1 = 121°$

Then, $m∠3 = 121°$

(reason: vertically opposite angles are equal)

Therefore:

$m∠1 = 121°$

$m∠3 = 121°$

$m∠4 = 59 °$

See attached image for the placement of the values.