Exterior Angles of Triangles (Grade 8)
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Exterior Angles of Triangles
1.
What is the sum of the exterior angles of a triangle?
- [math]180deg[/math]
- [math]270deg[/math]
- [math]360deg[/math]
- [math]540deg[/math]
2.
The exterior angle of a triangle is equal to
- the value of its adjacent angle.
- the sum of its opposite interior angles.
- the product of its opposite interior angles.
- the difference between its opposite interior angles.
3.
Which of the following statements about the exterior angle of a triangle is true?
- It is always equal to the value of its adjacent angle.
- It is always larger than either opposite interior angle.
- It is always larger than the sum of its opposite interior angles.
- It is always equal to the sum of the interior angles of the triangle.
4.
What is the measure of one external angle of an equilateral triangle?
- [math]30deg[/math]
- [math]60deg[/math]
- [math]120deg[/math]
- [math]180deg[/math]
5.
The measures of the angles of triangle ABC are:
[math]angA = xdeg[/math]
[math]angB = ydeg[/math]
[math]angC = zdeg[/math]
Extend side AC to the right to form an external angle. Which expression equals the value of the external angle?
[math]angA = xdeg[/math]
[math]angB = ydeg[/math]
[math]angC = zdeg[/math]
Extend side AC to the right to form an external angle. Which expression equals the value of the external angle?

- [math]y - z[/math]
- [math]y + z[/math]
- [math]x - y[/math]
- [math]x + y[/math]
6.
An external angle of a triangle is [math]80deg[/math]. Which of the following could be a value of one of its opposite interior angles?
- [math]50deg[/math]
- [math]80deg[/math]
- [math]100deg[/math]
- [math]120deg[/math]
7.
Extend [math]bar (AC[/math] to the right of C to create an exterior angle adjacent to C. If [math]angA = 100deg[/math] and [math]angB = 25deg[/math], what is the value of the exterior angle adjacent to C?

- [math]55deg[/math]
- [math]75deg[/math]
- [math]100deg[/math]
- [math]125deg[/math]
8.
Triangle ABC is isosceles and its vertex is B. If [math]angB = 30deg[/math], what is the measure of an external base angle of the triangle?

- [math]45deg[/math]
- [math]75deg[/math]
- [math]105deg[/math]
- [math]150deg[/math]
9.
The exterior base angles of an isosceles triangle each measure [math]100deg[/math]. What is the measure of the interior vertex angle of the triangle?
- [math]20deg[/math]
- [math]60deg[/math]
- [math]80deg[/math]
- [math]160deg[/math]
10.
Extend line AC to the right and place point D on the extended line to create line ACD. Given the following:
[math]mangBCD = 115deg[/math]
[math]mangB = 90deg[/math]
[math]mangA = xdeg[/math]
Which equation can be used to solve for [math]mangA[/math]?
[math]mangBCD = 115deg[/math]
[math]mangB = 90deg[/math]
[math]mangA = xdeg[/math]
Which equation can be used to solve for [math]mangA[/math]?

- [math]90 + x = 115[/math]
- [math]65 + x = 115[/math]
- [math]65 - x = 115 [/math]
- [math]90 - x = 115[/math]
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