High School

A triangle has one angle that is 42.3 degrees and another angle that is 38.6 degrees. What is the measure of the other angle?

Enter the value. You do not need to enter the units. Round to the nearest tenth if necessary.

Answer :

A triangle has three interior angles that add up to [tex]$180^\circ$[/tex]. Two of the angles are given as:

[tex]$$
42.3^\circ \quad \text{and} \quad 38.6^\circ.
$$[/tex]

First, we find the sum of these two angles:

[tex]$$
42.3 + 38.6 = 80.9.
$$[/tex]

Next, we subtract this sum from [tex]$180^\circ$[/tex] to find the measure of the third angle:

[tex]$$
180 - 80.9 = 99.1.
$$[/tex]

Thus, the measure of the other angle is [tex]$99.1$[/tex].

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