Solve for Unknowns in Geometry

Front

What is the sum of the angles in a triangle?

Back

180°

Front

What is a linear pair of angles?

Back

Two angles that are adjacent and whose non-common sides form a straight line.

Front

If two angles are complementary, what is the sum of their measures?

Back

90°

Front

What is the value of 'a' if it is an angle in a triangle and the other two angles are 45° and 60°?

Back

a = 75°

Front

If m∠1 = (5x + 9)° and m∠2 = (3x + 11)°, what is the relationship between m∠1 and m∠2?

Back

m∠1 + m∠2 = 180° (they form a linear pair).

Front

What is the value of 'x' if 3x + 6 = 21?

Back

x = 5

Front

What is the measure of an exterior angle of a triangle?

Back

It is equal to the sum of the measures of the two opposite interior angles.

Front

If two angles are supplementary, what is the sum of their measures?

Back

180°

Front

What is the formula for finding the measure of an angle in a right triangle?

Back

Use trigonometric ratios: sin, cos, tan.

Front

If m∠A + m∠B = 90°, what can you say about angles A and B?

Back

They are complementary.