Question

How would I do this?

Answer 1

∠D = 26°

Explanation:

Hint: The three interior angles of a triangle will always have a sum of 180°. A triangle cannot have an individual angle measure of 180°, because then the other two angles would not exist (180°+0°+0°). The three angles of a triangle need to combine to 180°.

The sum of the angle measures of a triangle is 180°. So, we write:

m∠D + m∠E + m∠F = 180°

m∠D + 32° + 122° = 180°

m∠D + 154° = 180°

m∠D = 26°

So, we can conclude that:

the measure of ∠D = 26°

Answer 2

The sum of the interior angles of a triangle is always 180º:

∠D + 122º + 32º = 180º

∠D + 154º = 180º

∠D = 180 - 154º

∠D = 26º