MA.912.GR.1.1

Front

What is the equation to solve for x when given the equation 12x - 19 + 4x + 1 = 180?

Back

To solve for x, combine like terms: 16x - 18 = 180, then add 18 to both sides: 16x = 198, and finally divide by 16: x = 12.375.

Front

If \angle3 and \angle6 are alternate interior angles, and \angle3 = 3x + 15^{\circ} and \angle6 = 5x - 5^{\circ}, how do you find the value of x?

Back

Set the angles equal: 3x + 15 = 5x - 5. Solve for x: 20 = 2x, so x = 10.

Front

What is the measure of angle b if it is given as 36^{\circ}, 56^{\circ}, 63^{\circ}, or 117^{\circ}?

Back

The measure of angle b is 36^{\circ}.

Front

If \angle 3 = 2x + 10^{\circ} and \angle7 = 4x - 20^{\circ} are corresponding angles, how do you find the value of x?

Back

Set the angles equal: 2x + 10 = 4x - 20. Solve for x: 30 = 2x, so x = 15.

Front

What are alternate interior angles?

Back

Alternate interior angles are pairs of angles that are on opposite sides of a transversal and inside the two lines it intersects.

Front

Define corresponding angles.

Back

Corresponding angles are pairs of angles that are in the same position on two parallel lines cut by a transversal.

Front

What is the sum of the interior angles of a triangle?

Back

The sum of the interior angles of a triangle is always 180^{\circ}.

Front

How do you find the measure of an exterior angle of a triangle?

Back

The measure of an exterior angle is equal to the sum of the measures of the two non-adjacent interior angles.

Front

What is the relationship between the angles formed by parallel lines and a transversal?

Back

When a transversal intersects parallel lines, alternate interior angles are equal, corresponding angles are equal, and consecutive interior angles are supplementary.

Front

What is the formula for the sum of the interior angles of a polygon?

Back

The sum of the interior angles of a polygon with n sides is given by the formula (n-2) * 180^{\circ}.