#5.1 Angles of Triangles

Classify the triangle by its sides and its angles.

• Scalene; Right

• Isosceles; Right

• Scalene; Acute

• Isosceles; Acute

Classify the triangle by its sides and its angles.

• Scalene; Right

• Isosceles; Right

• Scalene; Acute

• Isosceles; Acute

Choose the correct answer.

•  $\Delta ABC$  is a right triangle because the slopes of  $\overline{AC}$  and  $\overline{BC}$  are opposite reciprocals.

•  $\Delta ABC$  is not a right triangle because the slope of  $\overline{AC}=-4$ and slope of  $\overline{BC}=\frac{1}{3}$ 

•  $\Delta ABC$  is not a right triangle because the slope of  $\overline{AC}=-\frac{1}{4}$  and slope of  $\overline{BC}=3$  

Find the value of x

• 32

• 47

• 65

• 212

Find the value of x

• 17

• 29

• 119

• 209

Find the value of x

• 13

• 26

• 30

• 60

Find the value of x

• 17

• 35

• 71

• 112

The measure of one acute angle of a right triangle is 12 more than 3 times the measure of the other acute angle. Find the measure of the smallest acute angle of the right triangle.

• $42\degree$

• $19.5\degree$
  

• $70.5\degree$

• $82\degree$

Find the measure of angle 1

• 74

• 92

• 106

• 114

Classify the triangle by sides

• Scalene

• Isosceles

• Equilateral

• Obtuse