Triangle Sum Theorem Algebraically

Front

What is the Triangle Sum Theorem?

Back

The Triangle Sum Theorem states that the sum of the interior angles of a triangle is always 180 degrees.

Front

If one angle of a triangle is 34 degrees and another is 46 degrees, what is the measure of the third angle?

Back

The third angle is 100 degrees, calculated as 180 - (34 + 46).

Front

How do you find the value of x in a triangle when given two angles?

Back

Use the Triangle Sum Theorem: x = 180 - (angle1 + angle2).

Front

What is the formula to find the measure of an unknown angle in a triangle?

Back

The formula is: Unknown angle = 180 - (sum of the known angles).

Front

If a triangle has angles measuring 62 degrees and 36 degrees, what is the measure of the third angle?

Back

The third angle measures 82 degrees, calculated as 180 - (62 + 36).

Front

What is the relationship between the angles in a triangle?

Back

The angles in a triangle are related such that their sum is always 180 degrees.

Front

If x + 34 + 46 = 180, what is the value of x?

Back

x = 100.

Front

In a triangle, if one angle is represented as x and the other two angles are 28 and 12 degrees, how do you solve for x?

Back

Set up the equation: x + 28 + 12 = 180, then solve for x.

Front

What is the measure of an angle if the other two angles are 7 and 6 degrees?

Back

The measure of the angle is 167 degrees, calculated as 180 - (7 + 6).

Front

If the angles of a triangle are represented as 2x, 3x, and 5x, what is the value of x?

Back

x = 10, calculated from the equation 2x + 3x + 5x = 180.