Jumpshot

m∠RTS = ___

A triangle where both remote interior angles are 65 degrees. Angle R T S is the third angle of the triangle

180°

50°

65°

130°

Answer: 50°

m∠RTZ = ___

A triangle where both remote interior angles are 65 degrees. Angle R T Z is the exterior angle

180°

20°

65°

130°

Answer: 130°

Classify triangle RST in relation to its angles.

The same triangle as the previous problems

acute

right

obtuse

equiangular

Answer: acute

Classify triangle RST in relation to its sides.

The same triangle as the previous problems

equilateral

scalene

isosceles

two sided

Answer: scalene

Solve for y = ___.

An isosceles triangle where one of the base angles is 47 degrees. The triangle drops an altitude splitting the triangle into 2 right triangles. The altitude splits an angle into 2 angles each measuring y

45°

90°

86°

43°

Answer: 43°

Consider triangle AFE and identify an exterior angle from the choices.

Triangle A C E has an altitude dropped from A to D and an altitude is dropped from E to B. The distance from C to where these altitudes are dropped is equal: Length C B equals length C D

angle EBC

angle ABE

angle BFA

angle AFE

Answer: angle AFE

Try FJH is an equilateral triangle. Find x and y.

1 of the angles has value (4y-4). 2 of the sidelengths measure (3x-8) and (2x-1)

x = 7/5, y = 16

x = 7, y = 16

x = 7/5, y = 14

x = 7, y = 14

Answer: x = 7, y = 16

Use the Interior Angle Sum Theorem to solve for x. Then evaluate each angle in order to classify the triangle as acute, right, or obtuse if ...

∠1 = x + 2

∠2 = 5x

∠3 = 5x + 2

x = 16; right triangle

x = 16; acute triangle

x = 17; obtuse triangle

x = 18; right triangle

Answer: x = 16; acute triangle

One acute angles in a right triangle has a measure of 34.6. What is the measure of the other acute angle?

145.4°

34.6°

55.4°

90°

Answer: 55.4°

Find m∠K

A triangle where the remote interior angles measure (6x-9) and (4x+7). The exterior angle measures 118

63°

55°

79°

39°

Answer: 55.4°

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