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° .(1 point)

Answer 1

Use the Triangle Angle Sum Theorem to find the measure of the third angle if the first and second angle measure 63° and 40° .(1 point) °

Answer 2

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 three angles in a triangle is always 180°.

Let's denote the measure of the third angle as x. According to the theorem, we have:

34.6° + 52.8° + x = 180°

Combining like terms, we can rewrite the equation as:

87.4° + x = 180°

Solving for x, we subtract 87.4° from both sides:

x = 180° - 87.4°

x ≈ 92.6°

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