Use the Triangle Angle Sum Theorem to find the measure of the third angle of the triangle shown. (1 point) °
<b = 34
<a = 120
<c = ??
To find the measure of the third angle of the triangle, we can use the Triangle Angle Sum Theorem, which states that the sum of the measures of the angles in a triangle is always 180 degrees.
Let's call the measure of the third angle "c".
Given that <a = 120 degrees and <b = 34 degrees, we can use the Triangle Angle Sum Theorem to find the measure of <c.
Triangle Angle Sum Theorem:
<a + <b + <c = 180 degrees
Substituting the given values:
120 + 34 + <c = 180
Combining like terms:
154 + <c = 180
Solving for <c:
<c = 180 - 154
<c = 26 degrees
Therefore, the measure of the third angle, <c, is 26 degrees.