Exploring Triangle Sum and Exterior Angle Theorems

What is the essential statement of today's lesson?

• I can determine angles using the area of a triangle.

• I can determine angles using the Pythagorean theorem.

• I can determine angles using the triangle sum and exterior angle theorem.

• I can determine angles using the sine and cosine rules.

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

According to the Triangle Sum Theorem, what is the sum of the interior angles of a triangle?

• 180 degrees

• 360 degrees

• 90 degrees

• 270 degrees

Tags

CCSS.8.G.A.5

Which of the following is an interior angle?

• An angle inside the triangle

• An angle outside the triangle

• An angle on the line of the triangle

• An angle in a square

What do the remote interior angles add up to according to the Exterior Angle Theorem?

• The sum of the interior angles

• The exterior angle

• The sum of the exterior angles

• The adjacent interior angle

Tags

CCSS.8.G.A.5

In the Triangle Sum Theorem, if one angle is 55 degrees and another is 60 degrees, what is the measure of the third angle?

• 75 degrees

• 65 degrees

• 95 degrees

• 85 degrees

Tags

CCSS.8.G.A.5

What is the sum of the three interior angles in any triangle?

• 180 degrees

• 360 degrees

• 90 degrees

• 270 degrees

Tags

CCSS.8.G.A.5

What is the measure of an angle if the other two angles in a triangle are 55 degrees and 60 degrees?

• 55 degrees

• 60 degrees

• 65 degrees

• 70 degrees

Tags

CCSS.8.G.A.5

If the exterior angle of a triangle is 143 degrees and one remote interior angle is 110 degrees, what is the measure of the other remote interior angle?

• 63 degrees

• 53 degrees

• 43 degrees

• 33 degrees

Tags

CCSS.8.G.A.5

Using the Exterior Angle Theorem, if the exterior angle is 107 degrees and one remote interior angle is 24 degrees, what is the measure of the other remote interior angle?

• 93 degrees

• 83 degrees

• 103 degrees

• 73 degrees

Tags

CCSS.8.G.A.5

If the exterior angle is 107 degrees, what is the sum of the two remote interior angles?

• 107 degrees

• 180 degrees

• 90 degrees

• 360 degrees

Tags

CCSS.8.G.A.5