Triangle Angle Sum Theorem Practice

Question

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Question
Use the Triangle Angle Sum Theorem to find the measure of the third angle of the triangle if the measure of two angles are 34.6° and 52.8°

Answer 1

To find the measure of the third angle, we need to use the Triangle Angle Sum Theorem, which states that the sum of the three angles in a triangle is always 180 degrees.

Let x be the measure of the third angle.

We know that two angles have measures of 34.6° and 52.8°. So, the sum of these two angles is:

34.6 + 52.8 = 87.4

Now, we can set up an equation to find the measure of the third angle:

34.6 + 52.8 + x = 180

Simplify the equation:

87.4 + x = 180

Subtract 87.4 from both sides:

x = 180 - 87.4

x = 92.6

Therefore, the measure of the third angle of the triangle is 92.6°.